4 videos in "SecondOrder Linear ODEs"

Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases

Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians

Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constantcoefficient ODEs

Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials
Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constantcoefficient ODEs
Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constantcoefficient ODEs
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Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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 BYNCSA.
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Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constantcoefficient ODEs  Lecture 12. More examples of secondorder ODEs.
 Lecture Notes  Lecture Notes
 Notes  Notes and exercises written by Prof. Mattuck
 Supplementary Notes  Chapter 7 Supplementary Notes written by Prof. Miller
 What is an inhomogeneous secondorder differential equation?
 What is the reduced equation?
 What is a passive system?
 What is a forced system?
This lesson has many more examples of realworld functions and both inhomogeneous and homogeneous secondorder ODEs and their solution equations and theorems. The spring equation is used for a secondorder ODE example. Solutions and stability conditions for different ODEs are also discussed. A good video for more secondorder ODE work.