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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

• Follow-Ups:
  • Re: Laplace Transforms of piecewise continuous functions
    • From: Matthias Hertel <wir95cgu@studserv.uni-leipzig.de>