Difference between revisions of "Laplace Transform"
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==Resources== | ==Resources== | ||
* [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes | * [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes | ||
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+ | == Licensing == | ||
+ | Content obtained and/or adapted from: | ||
+ | * [https://en.wikipedia.org/wiki/Laplace_transform Laplace transform, Wikipedia] under a CC BY-SA license |
Latest revision as of 19:30, 5 November 2021
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
Resources
- Laplace Transforms, Paul's Online Notes
Licensing
Content obtained and/or adapted from:
- Laplace transform, Wikipedia under a CC BY-SA license