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Laplace Transform




 
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A series of free Calculus Videos.

The Laplace Transform - The Basic Idea of How We Use It
This video is the first of (what will be) many videos about the Laplace transform. In this video, I discuss the basic idea of how we will use the Laplace transform. There are no computations or anything heavy in this video! Just an outline of 'where we are going'.
Laplace Transform - Calculating the Laplace Transform
In this video, I give the definition of the Laplace transform and use it to find the Laplace transform of the function f ( t ) = t. We use integration by parts and L'Hospitals rule in the process.



The Laplace Transform, Basic Properties - Definitions and Derivatives
In this video, I give a few definitions and some results about basic properties of the Laplace Transform. I prove the result for the Laplace transform of derivatives. I do not solve any equations in this video; I am presenting a bit of the theory that justifies the way we do solve differential equations using the Laplace transform.
The Laplace Transform - More Derivatives
In this video, I prove another result about laplace transforms of derivatives. Just some theory here and some important formulas to help solve problems!


 

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