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.
More info at: http://ocw.mit.edu/terms

Additional Resources:

Lecture Notes - Lecture Notes
Muddy Card Responses - Muddy Card Responses are explanations of topics that were confusing to students
Notes - Notes and exercises written by Prof. Mattuck
Supplementary Notes - Chapter 10 Supplementary Notes written by Prof. Miller
Recitation Problems - Recitation Problems and classwork exercises
Recitation Solutions - Recitation problem solutions

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.

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