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Mathematica not simplifying Laplace transforms

• To: mathgroup at smc.vnet.net
• Subject: [mg61334] Mathematica not simplifying Laplace transforms
• From: "Roger" <rogerbrent2 at gmail.com>
• Date: Sun, 16 Oct 2005 00:17:50 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi.
I'm just testing out Mathematica 5.2 and I'm having a few problems.

1) How do I get Mathematica to simplify

LaplaceTransform[Exp[t]*f[t], t, s]

I expect it to say something like

LaplaceTransform[f[t], t, -1 + s]

but it just repeats the input expression.

Basically, how do I get it to behave like on this page:
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace1.html

2) This might be related, how do I define the domain of a variable?
Like making the variable "t" a positive real number.

Thanks.

Regards,
Roger

• Follow-Ups:
  • Re: Mathematica not simplifying Laplace transforms
    • From: Devendra Kapadia <dkapadia@wolfram.com>
  • Re: Mathematica not simplifying Laplace transforms
    • From: Renan <renan.birck@gmail.com>