6 videos in "LaPlace Transform and other functions"
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Introduction to the Laplace Transform; Basic Formulas Pt 1
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Introduction to the Laplace Transform; Basic Formulas Pt 2
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Derivative Formulas; Using the Laplace Transform to Solve Linear ODEs
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Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
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Using Laplace Transform to Solve ODEs with Discontinuous Inputs
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Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
Using Laplace Transform to Solve ODEs with Discontinuous Inputs
Using Laplace Transform to Solve ODEs with Discontinuous Inputs
832 views - 00:44:07
Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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
More info at: http://ocw.mit.edu/terms
Using Laplace Transform to Solve ODEs with Discontinuous Inputs -- Lecture 22. The last lecture using the Laplace Transform to solve ODEs.
- 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
- 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?
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.
