Using Laplace Transform to Solve ODEs with Discontinuous Inputs
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Lesson Description:
Using Laplace Transform to Solve ODEs with Discontinuous Inputs -- Lecture 22. The last lecture using the Laplace Transform to solve ODEs.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Additional Resources:
- Lecture Notes - Lecture Notes
- Input-Response Models - Input-Response Models
- Supplementary Notes - Chapter 18 Supplementary Notes written by Prof. Miller
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
Questions answered by this video:
- What are jump discontinuities?
- How can you use the Laplace Transform to solve differential equations with discrete inputs?
- How do you use the Laplace Transform?
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Staff Review
In this final lecture using the Laplace Transform; this lecture solves several differential equations with discrete inputs using the transform. You will also learn what a jump discontinuity is and what it means in problems. More good problems using this useful technique.
