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

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Taught by OCW
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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.
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Additional Resources:
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.