Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials

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Lesson Description:

Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials -- Lecture 13. A spattering of formulas for finding particular solutions to 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 ODE?
  • What is a particular solutions to an ODE?
  • What is the exponential input theorem?
  • What is the exponential shift rule?
  • How do you know if a is a single or a double root?
  • Staff Review

    • Currently 4.0/5 Stars.
    This is a very important lesson in exponential differential equations and oscillations of springs. Many solution formulas and their proofs are presented in the lesson as well. A bit of a complicated and very theoretical lecture with many formulas represented.