Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constant-coefficient ODEs

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Lesson Description:

Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constant-coefficient ODEs -- Lecture 12. More examples of second-order ODEs.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Additional Resources:

Lecture Notes - Lecture Notes
Notes - Notes and exercises written by Prof. Mattuck
Supplementary Notes - Chapter 7 Supplementary Notes written by Prof. Miller

Questions answered by this video:

What is an inhomogeneous second-order differential equation?
What is the reduced equation?
What is a passive system?
What is a forced system?

Staff Review
- Currently 4.0/5 Stars.
This lesson has many more examples of real-world functions and both inhomogeneous and homogeneous second-order ODEs and their solution equations and theorems. The spring equation is used for a second-order ODE example. Solutions and stability conditions for different ODEs are also discussed. A good video for more second-order ODE work.

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