Translation and Inverse Laplace Transforms

In episode 5 of our series on Laplace Transforms, we compute more Inverse Laplace Transforms. First we introduce a property called the Translation Property which allows us to deal with a horizontal shift. This dramatically increases the set of functions we can compute the inverse laplace transform of. One algebraic trick we deal with in this video is completing the square, which converts and expression to one that more obviously uses the translation property. In the next video we'll use partial fractions to convert rational functions into a form easier to take the Inverse Laplace Transform.

This is part of my series on the Laplace Transforms in my Differential Equations Playlist:    • Laplace Transforms and Solving ODEs  


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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.

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