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Version 4.0 or 4.1 worse than 3.0?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg29616] Version 4.0 or 4.1 worse than 3.0?
  • From: "Toshiyuki \(Toshi\) Meshii" <meshii at mech.fukui-u.ac.jp>
  • Date: Thu, 28 Jun 2001 05:28:05 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

I know that version 4.0 or 4.1 has many enhancements.
However, talking about InverseLaplaceTransform, this may not be true.

I am working on an example 6.1, which appears on Kythe et al.'s "Partial
Differential Equations and Mathematica."

The text tells us that version 3 works well.

In[1]:=f[s_] := 1/(E^(a*Sqrt[s])*s);

In[2]:=
InverseLaplaceTransform[-D[f[s], a], s, t]

Out[2]:=1/(E^(a^2/(4*t))*Sqrt[Pi]*Sqrt[t])

Yes, this is OK.

But when I tried it on Version 4.0 and 4.1 (Win98), Mathematica couldn't
handle it.

Out[2]=
InverseLaplaceTransform[1/(E^(a*Sqrt[s])*Sqrt[s]), s, t]

Can anybody explain what is happening?

-Toshi





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