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Laplace Transforms of piecewise continuous functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg28292] Laplace Transforms of piecewise continuous functions
  • From: "Michael A. Powers" <mapowers at email.com>
  • Date: Sat, 7 Apr 2001 03:44:53 -0400 (EDT)
  • Organization: University of Maryland, Baltimore County
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

The documentation isn't very clear on how to compute a Laplace Transform of
a piecewise continuous function f(t).  Say I have a function f(t) such that:

f(t) = {3 over 0<=t<2, -2 over 2<=t<3, 0 over 3 <=t}

how can I use the LaplaceTransform[] function to compute this easily?
(aside from separately integrating the pieces, and adding)

Thanks,

-Mike




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