Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials
5106 views
|
3
ratings
Part of video series
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
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.
