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Solving Differential Equations Using Laplace Transform Solutions

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2017-04-19 18:54:10
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Laplace transforms are a type of integral transform that are great for making unruly differential equations more manageable. Simply take the Laplace transform of the differential equation in question, solve that equation algebraically, and try to find the inverse transform. Here’s the Laplace transform of the function f (t):

the Laplace transform of the function f (t)

Check out this handy table of Laplace transforms for common functions whenever you don’t want to take the time to calculate a Laplace transform on your own.

A table of Laplace transfors for common functions.

About This Article

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About the book author:

Dr. Steven Holzner has written more than 40 books about physics and programming. He was a contributing editor at PC Magazine and was on the faculty at both MIT and Cornell. He has authored Dummies titles including Physics For Dummies and Physics Essentials For Dummies. Dr. Holzner received his PhD at Cornell.