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MathGroup Archive 2006

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Re: Problem with LaplaceTransform and InverseLaplaceTransform

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67510] Re: Problem with LaplaceTransform and InverseLaplaceTransform
  • From: Roger Bagula <rlbagula at sbcglobal.net>
  • Date: Thu, 29 Jun 2006 00:09:16 -0400 (EDT)
  • References: <e7td5h$3kh$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

aXi wrote:

>Can someone point me to site that would help me in using Mathematica
>5.2for purpose of calculations related to Systhems theory. I'm having
>trouble with several topics... for example doing
>InverseLaplaceTransform of function:
>
>(1/s) * (TanH[pi*s/2])
>
>Thanks in advance!
>
>  
>
The form Exp[k*s]/s gives a step or cutoff function ( sometimes 
atributed to Heavyside).
One method is to break it into a series and integrate the series:

f[s_] = Normal[Series[(1/s) * (Tanh[Pi*s/2]), {s, 0, 30}]]
g[t_] = InverseLaplaceTransform[f[s], s, t]

The result is in DiracDelta function derivatives in even terms.


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