Solving Differential Equations with Matrices

preview_player
Показать описание
We show how to rewrite a set of coupled differential equations in matrix form, and use eigenvalues and eigenvectors to solve the differential equation.
  1. Dr. Underwood's Physics YouTube Page
  2. Eigenvalues
  3. Eigenvectors
  4. Coupled Differential Equations
Рекомендации по теме
Solving Differential Equations 0:06:42

Solving Differential Equations with Matrices

Matrix Systems of 0:24:58

Matrix Systems of Differential Equations

8: Eigenvalue Method 0:08:57

8: Eigenvalue Method for Systems - Dissecting Differential Equations

Linear Algebra - 0:13:50

Linear Algebra - Applications of Eigenvalues/Eigenvectors to solve Differential Equations (part 1)

Systems of linear 0:08:28

Systems of linear first-order odes | Lecture 39 | Differential Equations for Engineers

Solving a 3 0:03:48

Solving a 3 by 3 System of ODEs Using Eigenvalues

The Matrix Exponential 0:15:32

The Matrix Exponential

How (and why) 0:27:07

How (and why) to raise e to the power of a matrix | DE6

Simultaneous Equations Matrix 0:09:23

Simultaneous Equations Matrix Method : ExamSolutions

System of First 0:18:24

System of First Order Differential Equations || Matrix Method || RSC || Dr. Abhishek

Solving System of 0:08:29

Solving System of differential equation by diagonalizing a matrix, Dr. Peyam's Show

Differential Equations: Solving 0:15:53

Differential Equations: Solving a Second Order Equation Using Matrices

This is why 0:18:36

This is why you're learning differential equations

10.3 Solving a 0:08:45

10.3 Solving a linear system of differential equation using diagonalization

Solving Systems of 0:21:51

Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

Differential equations, a 0:27:16

Differential equations, a tourist's guide | DE1

Differential Equations - 0:04:47

Differential Equations - Systems of ODEs - Fundamental Matrices

Systems of DEs 0:06:26

Systems of DEs by Diagonalization

Coupled System of 0:07:19

Coupled System of Differential Equations

6.4 Exponential Matrix 0:10:39

6.4 Exponential Matrix Example 1, Differential Equations

Part 2, Solving 0:08:51

Part 2, Solving Using Matrices and Cramer's Rule, 3 Variables with 3 Equations

System of odes 0:09:24

System of odes with distinct real eigenvalues | Lecture 40 | Differential Equations for Engineers

Gaussian Elimination & 0:18:40

Gaussian Elimination & Row Echelon Form

Higher order ODEs 0:12:30

Higher order ODEs using matrices | Differential Equations | LetThereBeMath |

Комментарии
Автор

This is by far the most awesome resource I've come across that addressed why we use eigenvalues to solve linear differential eqns. and where does that come from

debarchanbasu
Автор

I've been following your new videos on mathematical physics. I think the topics that you are covering now in the courses are much more helpful to my grad school course work that lot of which covered back when I was taking them. Professors here in grad school sort of assumed everyone has already learned all these materials in undergrad, I am glad I have a place to go to for familiar teaching style on the unfamiliar materials. Thank you Dr. Underwood! :)

yunxiaozhai
Автор

thank you Sir - you are the best!!!
#RespectFromSouthAfrica

reubenwilliammpembe
Автор

The video is very nice, just the scripts aren't clear enough. Kindly write with a little more clarity :)

ShrutiSingh-eyhw
Автор

sir, but in some cases there is only one differential equation like Y'''+y''+y=0..how to chnge these to matrices

goto