- published: 01 Aug 2013
- views: 154700
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Ordinary differential equation
In mathematics, an ordinary differential equation or ODE is a differential equation containing a function or functions of one independent variable and its derivatives. The term "ordinary" is used in contrast with the term partial differential equation which may be with respect to more than one independent variable.
ODEs that are linear differential equations have exact closed-form solutions that can be added and multiplied by coefficients. By contrast, ODEs that lack additive solutions are nonlinear, and solving them is far more intricate, as one can rarely represent them by elementary functions in closed form: Instead, exact and analytic solutions of ODEs are in series or integral form. Graphical and numerical methods, applied by hand or by computer, may approximate solutions of ODEs and perhaps yield useful information, often sufficing in the absence of exact, analytic solutions.
Background
Ordinary differential equations (ODEs) arise in many different contexts throughout mathematics and science (social and natural) one way or another, because when describing changes mathematically, the most accurate way uses differentials and derivatives (related, though not quite the same). Since various differentials, derivatives, and functions become inevitably related to each other via equations, a differential equation is the result, describing dynamical phenomena, evolution, and variation. Often, quantities are defined as the rate of change of other quantities (time derivatives), or gradients of quantities, which is how they enter differential equations.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Ordinary_differential_equation
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Because such relations are extremely common, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.
In pure mathematics, differential equations are studied from several different perspectives, mostly concerned with their solutions—the set of functions that satisfy the equation. Only the simplest differential equations are solvable by explicit formulas; however, some properties of solutions of a given differential equation may be determined without finding their exact form.
If a self-contained formula for the solution is not available, the solution may be numerically approximated using computers. The theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine solutions with a given degree of accuracy.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Differential_equation
Podcasts:
-
Ordinary Differential Equations - Intro
Updated version available! https://youtu.be/5UqNZZx8e_A
published: 01 Aug 2013 -
First order, Ordinary Differential Equations.
Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving techniques: 1- Separable Equations 2- Homogeneous Method 9:21 3- Integrating Factor 22:17 4- Exact Differential Equations 32:53 If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo Thank you
published: 19 Feb 2019 -
Differential equation introduction | First order differential equations | Khan Academy
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/introduction-to-differential-equations-and-initial-value-problems?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instruct...
published: 17 Sep 2014 -
First Order Linear Differential Equations
This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations. Integration - Free Formula Sheet: https://bit.ly/3XCT6oz ________________________________ Improper Integrals: https://www.youtube.c...
published: 25 Mar 2018 -
Differential equations, a tourist's guide | DE1
An overview of what ODEs are all about Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to share the videos. Special thanks to these supporters: http://3b1b.co/de1thanks Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM Error correction: At 6:27, the upper equation should have g/L instead of L/g. Steven Strogatz's NYT article on the math of love: https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/ Interactive visualization of the example from this video, by Ilya Perederiy: https://www.expunctis.com/2019/04/04/vtvt-another-demo.html If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations" Also, more Strogatz fun, you m...
published: 31 Mar 2019 -
Overview of Ordinary Differential Equation
Overview of Ordinary Differential Equation Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm Lecture By: Er. Ridhi Arora, Tutorials Point India Private Limited
published: 29 Jan 2018 -
Ordinary Differential Equation - concept, order and degree in hindi
Next Video Link- https://youtu.be/BHdXOPD4cvo This video lecture " Ordinary differential equation-concept order degree in Hindi" will help Engineering and Basic Science students to understand following topic of Engineering-Mathematics: 1. concept of differential equation and ordinary differential equation 2. how to find order and degree of differential equation 3. concept od complete and general solution of differential equation 4. formulation of differential equation by eliminating arbitrary constants. 5. two solved example soon we will upload next video. For any query and feedback, please write us at: jaipal.vishwakarma@gmail.com For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "Maths Bhopal"...
published: 05 Jun 2016 -
Ordinary Differential Equations -1 Introduction
In this video we will see the what is an differential equation. Its types and its definitions. #BikkiMahato The best part is: it is all completely free! ------------------------------------------------------------------------------ Follow :) Youtube : https://www.youtube.com/c/BikkiMahato Facebook : https://www.facebook.com/mahatobikki Facebook Page : https://www.facebook.com/youtubebikki Twitter : https://twitter.com/mahato_bikki Instagram : https://www.instagram.com/bikkimahato Google+ : https://plus.google.com/u/0/+BikkiMahato Blogger : https://bikkimahato.blogspot.in Pinterest: https://in.pinterest.com/bikkimahato123/ LinkedIn : https://www.linkedin.com/in/bikkimahato ------------------------------------------------------------------------------ DONATE Support :) Patreon : https://...
published: 16 Jan 2016
developed with YouTube
8:32
Ordinary Differential Equations - Intro
- Order: Reorder
- Duration: 8:32
- Uploaded Date: 01 Aug 2013
- views: 154700
Updated version available! https://youtu.be/5UqNZZx8e_A
Updated version available! https://youtu.be/5UqNZZx8e_A
https://wn.com/Ordinary_Differential_Equations_Intro
Updated version available! https://youtu.be/5UqNZZx8e_A
48:35
First order, Ordinary Differential Equations.
- Order: Reorder
- Duration: 48:35
- Uploaded Date: 19 Feb 2019
- views: 668999
Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integ...
Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo
Thank you
https://wn.com/First_Order,_Ordinary_Differential_Equations.
Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo
Thank you
- published: 19 Feb 2019
- views: 668999
7:49
Differential equation introduction | First order differential equations | Khan Academy
- Order: Reorder
- Duration: 7:49
- Uploaded Date: 17 Sep 2014
- views: 3021567
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/different...
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/introduction-to-differential-equations-and-initial-value-problems?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations
Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations
Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/Differential_Equation_Introduction_|_First_Order_Differential_Equations_|_Khan_Academy
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/introduction-to-differential-equations-and-initial-value-problems?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations
Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations
Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 17 Sep 2014
- views: 3021567
22:28
First Order Linear Differential Equations
- Order: Reorder
- Duration: 22:28
- Uploaded Date: 25 Mar 2018
- views: 2117849
This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the e...
This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations.
Integration - Free Formula Sheet:
https://bit.ly/3XCT6oz
________________________________
Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0
Integration Into Inverse Trig:
https://www.youtube.com/watch?v=AE-0gXXx_j0
Integration of Rational Functions:
https://www.youtube.com/watch?v=4yJmhZBB40w
Integral of Logarithmic Functions:
https://www.youtube.com/watch?v=nrt37LoaSxM
Integrating Exponential Functions:
https://www.youtube.com/watch?v=D9dqdbCgJQM
Integration Formulas:
https://www.youtube.com/watch?v=_KJqeJDb8-I
________________________________
Integration By Tables:
https://www.youtube.com/watch?v=p7KwXMyJK9s
Reduction Formulas - Integration:
https://www.youtube.com/watch?v=LBZcfl97LwY
Center of Mass & Moments:
https://www.youtube.com/watch?v=JSGlBHAGvy4
Center of Mass & Centroid Problems:
https://www.youtube.com/watch?v=SWu_i-19Rn0
Hydrostatic Force Problems:
https://www.youtube.com/watch?v=3jG-hWgUJko
Probability Density Functions:
https://www.youtube.com/watch?v=QKA4HNEw3aY
_________________________________
Normal Distributions - Calculus:
https://www.youtube.com/watch?v=gHBL5Zau3NE
Homogeneous Differential Equations:
https://www.youtube.com/watch?v=ZEJVyybsiT4
1st Order Linear Differential Equations:
https://www.youtube.com/watch?v=gd1FYn86P0c
Bernoulli's Equation for Differential Equations:
https://www.youtube.com/watch?v=BoI_ej-T0V4
Slope Fields:
https://www.youtube.com/watch?v=Wr9VOum9Co0
___________________________________
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
https://wn.com/First_Order_Linear_Differential_Equations
This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations.
Integration - Free Formula Sheet:
https://bit.ly/3XCT6oz
________________________________
Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0
Integration Into Inverse Trig:
https://www.youtube.com/watch?v=AE-0gXXx_j0
Integration of Rational Functions:
https://www.youtube.com/watch?v=4yJmhZBB40w
Integral of Logarithmic Functions:
https://www.youtube.com/watch?v=nrt37LoaSxM
Integrating Exponential Functions:
https://www.youtube.com/watch?v=D9dqdbCgJQM
Integration Formulas:
https://www.youtube.com/watch?v=_KJqeJDb8-I
________________________________
Integration By Tables:
https://www.youtube.com/watch?v=p7KwXMyJK9s
Reduction Formulas - Integration:
https://www.youtube.com/watch?v=LBZcfl97LwY
Center of Mass & Moments:
https://www.youtube.com/watch?v=JSGlBHAGvy4
Center of Mass & Centroid Problems:
https://www.youtube.com/watch?v=SWu_i-19Rn0
Hydrostatic Force Problems:
https://www.youtube.com/watch?v=3jG-hWgUJko
Probability Density Functions:
https://www.youtube.com/watch?v=QKA4HNEw3aY
_________________________________
Normal Distributions - Calculus:
https://www.youtube.com/watch?v=gHBL5Zau3NE
Homogeneous Differential Equations:
https://www.youtube.com/watch?v=ZEJVyybsiT4
1st Order Linear Differential Equations:
https://www.youtube.com/watch?v=gd1FYn86P0c
Bernoulli's Equation for Differential Equations:
https://www.youtube.com/watch?v=BoI_ej-T0V4
Slope Fields:
https://www.youtube.com/watch?v=Wr9VOum9Co0
___________________________________
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
- published: 25 Mar 2018
- views: 2117849
27:16
Differential equations, a tourist's guide | DE1
- Order: Reorder
- Duration: 27:16
- Uploaded Date: 31 Mar 2019
- views: 4255762
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos...
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
https://wn.com/Differential_Equations,_A_Tourist's_Guide_|_De1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
- published: 31 Mar 2019
- views: 4255762
2:34
Overview of Ordinary Differential Equation
- Order: Reorder
- Duration: 2:34
- Uploaded Date: 29 Jan 2018
- views: 14919
Overview of Ordinary Differential Equation
Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Er. Ridhi Arora, Tutorials P...
Overview of Ordinary Differential Equation
Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Er. Ridhi Arora, Tutorials Point India Private Limited
https://wn.com/Overview_Of_Ordinary_Differential_Equation
Overview of Ordinary Differential Equation
Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Er. Ridhi Arora, Tutorials Point India Private Limited
- published: 29 Jan 2018
- views: 14919
22:01
Ordinary Differential Equation - concept, order and degree in hindi
- Order: Reorder
- Duration: 22:01
- Uploaded Date: 05 Jun 2016
- views: 1290732
Next Video Link- https://youtu.be/BHdXOPD4cvo
This video lecture " Ordinary differential equation-concept order degree in Hindi" will help Engineering and Basi...
Next Video Link- https://youtu.be/BHdXOPD4cvo
This video lecture " Ordinary differential equation-concept order degree in Hindi" will help Engineering and Basic Science students to understand following topic of Engineering-Mathematics:
1. concept of differential equation and ordinary differential equation
2. how to find order and degree of differential equation
3. concept od complete and general solution of differential equation
4. formulation of differential equation by eliminating arbitrary constants.
5. two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "Maths Bhopal"...
https://wn.com/Ordinary_Differential_Equation_Concept,_Order_And_Degree_In_Hindi
Next Video Link- https://youtu.be/BHdXOPD4cvo
This video lecture " Ordinary differential equation-concept order degree in Hindi" will help Engineering and Basic Science students to understand following topic of Engineering-Mathematics:
1. concept of differential equation and ordinary differential equation
2. how to find order and degree of differential equation
3. concept od complete and general solution of differential equation
4. formulation of differential equation by eliminating arbitrary constants.
5. two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "Maths Bhopal"...
- published: 05 Jun 2016
- views: 1290732
4:43
Ordinary Differential Equations -1 Introduction
- Order: Reorder
- Duration: 4:43
- Uploaded Date: 16 Jan 2016
- views: 19844
In this video we will see the what is an differential equation.
Its types and its definitions.
#BikkiMahato
The best part is: it is all completely free!
------...
In this video we will see the what is an differential equation.
Its types and its definitions.
#BikkiMahato
The best part is: it is all completely free!
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https://wn.com/Ordinary_Differential_Equations_1_Introduction
In this video we will see the what is an differential equation.
Its types and its definitions.
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- published: 16 Jan 2016
- views: 19844
8:32
Ordinary Differential Equations - Intro
Updated version available! https://youtu.be/5UqNZZx8e_A
published: 01 Aug 2013
Ordinary Differential Equations - Intro
Ordinary Differential Equations - Intro
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- published: 01 Aug 2013
- views: 154700
Updated version available! https://youtu.be/5UqNZZx8e_A
48:35
First order, Ordinary Differential Equations.
Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving t...
published: 19 Feb 2019
First order, Ordinary Differential Equations.
First order, Ordinary Differential Equations.
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- published: 19 Feb 2019
- views: 668999
Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo
Thank you
7:49
Differential equation introduction | First order differential equations | Khan Academy
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/ma...
published: 17 Sep 2014
Differential equation introduction | First order differential equations | Khan Academy
Differential equation introduction | First order differential equations | Khan Academy
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- published: 17 Sep 2014
- views: 3021567
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/introduction-to-differential-equations-and-initial-value-problems?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations
Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm;_medium=Desc&utm;_campaign=DifferentialEquations
Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
22:28
First Order Linear Differential Equations
This calculus video tutorial explains provides a basic introduction into how to solve firs...
published: 25 Mar 2018
First Order Linear Differential Equations
First Order Linear Differential Equations
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- published: 25 Mar 2018
- views: 2117849
This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations.
Integration - Free Formula Sheet:
https://bit.ly/3XCT6oz
________________________________
Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0
Integration Into Inverse Trig:
https://www.youtube.com/watch?v=AE-0gXXx_j0
Integration of Rational Functions:
https://www.youtube.com/watch?v=4yJmhZBB40w
Integral of Logarithmic Functions:
https://www.youtube.com/watch?v=nrt37LoaSxM
Integrating Exponential Functions:
https://www.youtube.com/watch?v=D9dqdbCgJQM
Integration Formulas:
https://www.youtube.com/watch?v=_KJqeJDb8-I
________________________________
Integration By Tables:
https://www.youtube.com/watch?v=p7KwXMyJK9s
Reduction Formulas - Integration:
https://www.youtube.com/watch?v=LBZcfl97LwY
Center of Mass & Moments:
https://www.youtube.com/watch?v=JSGlBHAGvy4
Center of Mass & Centroid Problems:
https://www.youtube.com/watch?v=SWu_i-19Rn0
Hydrostatic Force Problems:
https://www.youtube.com/watch?v=3jG-hWgUJko
Probability Density Functions:
https://www.youtube.com/watch?v=QKA4HNEw3aY
_________________________________
Normal Distributions - Calculus:
https://www.youtube.com/watch?v=gHBL5Zau3NE
Homogeneous Differential Equations:
https://www.youtube.com/watch?v=ZEJVyybsiT4
1st Order Linear Differential Equations:
https://www.youtube.com/watch?v=gd1FYn86P0c
Bernoulli's Equation for Differential Equations:
https://www.youtube.com/watch?v=BoI_ej-T0V4
Slope Fields:
https://www.youtube.com/watch?v=Wr9VOum9Co0
___________________________________
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
27:16
Differential equations, a tourist's guide | DE1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/...
published: 31 Mar 2019
Differential equations, a tourist's guide | DE1
Differential equations, a tourist's guide | DE1
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- published: 31 Mar 2019
- views: 4255762
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
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2:34
Overview of Ordinary Differential Equation
Overview of Ordinary Differential Equation
Watch more videos at https://www.tutorialspoint...
published: 29 Jan 2018
Overview of Ordinary Differential Equation
Overview of Ordinary Differential Equation
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- published: 29 Jan 2018
- views: 14919
Overview of Ordinary Differential Equation
Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Er. Ridhi Arora, Tutorials Point India Private Limited
22:01
Ordinary Differential Equation - concept, order and degree in hindi
Next Video Link- https://youtu.be/BHdXOPD4cvo
This video lecture " Ordinary differential ...
published: 05 Jun 2016
Ordinary Differential Equation - concept, order and degree in hindi
Ordinary Differential Equation - concept, order and degree in hindi
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- published: 05 Jun 2016
- views: 1290732
Next Video Link- https://youtu.be/BHdXOPD4cvo
This video lecture " Ordinary differential equation-concept order degree in Hindi" will help Engineering and Basic Science students to understand following topic of Engineering-Mathematics:
1. concept of differential equation and ordinary differential equation
2. how to find order and degree of differential equation
3. concept od complete and general solution of differential equation
4. formulation of differential equation by eliminating arbitrary constants.
5. two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "Maths Bhopal"...
4:43
Ordinary Differential Equations -1 Introduction
In this video we will see the what is an differential equation.
Its types and its definiti...
published: 16 Jan 2016
Ordinary Differential Equations -1 Introduction
Ordinary Differential Equations -1 Introduction
- Report rights infringement
- published: 16 Jan 2016
- views: 19844
In this video we will see the what is an differential equation.
Its types and its definitions.
#BikkiMahato
The best part is: it is all completely free!
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Ordinary differential equation
In mathematics, an ordinary differential equation or ODE is a differential equation containing a function or functions of one independent variable and its derivatives. The term "ordinary" is used in contrast with the term partial differential equation which may be with respect to more than one independent variable.
ODEs that are linear differential equations have exact closed-form solutions that can be added and multiplied by coefficients. By contrast, ODEs that lack additive solutions are nonlinear, and solving them is far more intricate, as one can rarely represent them by elementary functions in closed form: Instead, exact and analytic solutions of ODEs are in series or integral form. Graphical and numerical methods, applied by hand or by computer, may approximate solutions of ODEs and perhaps yield useful information, often sufficing in the absence of exact, analytic solutions.
Background
Ordinary differential equations (ODEs) arise in many different contexts throughout mathematics and science (social and natural) one way or another, because when describing changes mathematically, the most accurate way uses differentials and derivatives (related, though not quite the same). Since various differentials, derivatives, and functions become inevitably related to each other via equations, a differential equation is the result, describing dynamical phenomena, evolution, and variation. Often, quantities are defined as the rate of change of other quantities (time derivatives), or gradients of quantities, which is how they enter differential equations.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Ordinary_differential_equation
Ordinary Differential Equations - Intro...
First order, Ordinary Differential Equations....
Differential equation introduction | First order d...
First Order Linear Differential Equations...
Differential equations, a tourist's guide | DE1...
Overview of Ordinary Differential Equation...
Ordinary Differential Equation - concept, order an...
