Laplace Transform

From Department of Mathematics at UTSA
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In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace, is an integral transform that converts a function of a real variable t (often time) to a function of a complex variable s (complex frequency). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms linear differential equations into algebraic equations and convolution into multiplication.

For suitable functions f, the Laplace transform is the integral

List of Common Laplace Transforms
         
         
         
         
         
         
         
         
         
         
         
         
         

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