Integrating Factors 1

Integrating Factors 2

 

First Order Linear Differential Equations

First Order Linear Differential Equations / Integrating Factors – Ex 2

http://fireflylectures.com/Change-of-Variables-Homogeneous-Differential-Equation-Example-3

http://fireflylectures.com/Change-of-Variables-Homogeneous-Differential-Equation-Example-4

 

Textbook Sections:  3.1--3.6, 3.8

 

Kahn Academy Videos for Second Order Linear Equations

 

Prof Haynes Miller and Prof. Arthur Mattuck, Differential Equations at MIT.

Lecture Notes

 

Video Lectures:

 

Complex Numbers and Complex Exponentials

First-order Linear with Constant Coefficients

Continuation

Solving Second-order Linear ODE's with Constant Coefficients

Continuation: Complex Characteristic Roots

Theory of General Second-order Linear Homogeneous ODEs

Continuation: General Theory for Inhomogeneous ODEs

Finding Particular Solutions to Inhomogeneous ODEs

Interpretation of the Exceptional Case: Resonance

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Module 4

Module 4

Laplace Transforms

 

Textbook Sections: 4.1--4.5

 

I would be interested in what you think of these videos:

 

What does the Laplace Transform really tell us? A visual explanation (plus applications)

 

Laplace Transform Explained and Visualized Intuitively

 

Kahn Academy Videos:

Start here and follow the links for the lessons

Laplace Transform 1

 

MIT Videos:

 

Introduction to the Laplace Transform

Derivative Formulas (Laplace Transform)

Convolution Formula

Using Laplace Transform to Solve ODEs with Discontinuous Inputs

Use with Impulse Inputs

 

If you search and find videos you think are good, please send me the links.