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
Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
891 views - 00:44:54
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
Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions -- Lecture 23. Moving on to other functions from the Laplace Transform.
- Lecture Notes - Lecture Notes
- Problem Set 5 - Problem Set 5
- Problem Set 5 Solutions - Problem Set 5 Solutions
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
- What is a unit impulse?
- What are impulse inputs?
- What is the Dirac Delta Function
- What is the weight function?
- What is the transfer function?
- What is the unit step function?
This lesson moves on to other functions, such as those with impulse inputs (especially the unit impulse), the Dirac Delta function, and weight and transfer functions. A variety of good functions and ideas are explained in this packed lecture. There is also a fun student demonstration is done to show damping of a trig function.
