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inverting Laplace transforms

• To: mathgroup at smc.vnet.net
• Subject: [mg95096] inverting Laplace transforms
• From: Leslaw Bieniasz <nbbienia at cyf-kr.edu.pl>
• Date: Tue, 6 Jan 2009 04:11:55 -0500 (EST)

Hello,

I need to invert a few expressions representing Laplace transforms. I have heard that MATHEMATICA can be used
for this purpose. Can anybody tell me how to do this?

For example, I need to find a function f(t) for which the
Laplace transform F(s) is

F(s) = Sqrt[s + a]/(Sqrt[s] * (s - b))

where a > 0 and b > 0 are constants.

Leslaw