Laplace transform applied to differential equations

id: laplace-transform-applied-to-differential-equations-240-11172909
title: Laplace transform applied to differential equations
text: In mathematics, the Laplace transform is a powerful integral transform used to switch a function from the time domain to the s-domain. The Laplace transform can be used in some cases to solve linear differential equations with given initial conditions. First consider the following property of the Laplace transform: One can prove by induction that Now we consider the following differential equation: with given initial conditions Using the linearity of the Laplace transform it is equivalent to rew
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date modified: 2024-02-06T23:22:36Z
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