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Re: Bug with LaplaceTransform?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg83532] Re: Bug with LaplaceTransform?
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Thu, 22 Nov 2007 04:50:08 -0500 (EST)
  • Organization: The Open University, Milton Keynes, UK
  • References: <fi0qfg$6ok$1@smc.vnet.net>

chuck009 wrote:

> The Laplace Transform integral seems not to converge for any s for the function f(x)=1/x but LaplaceTransform returns -EulerGamma-Log(s) for this function:
> 
> 
> LaplaceTransform[1/x, x, s]
> Integrate[1/(x*Exp[s*x]), {x, 0, Infinity}]
> 
> Is this a bug?

Seems to be a novelty of version 6. Version 5.2 returns infinity.

In[1]:=
LaplaceTransform[1/x,x,s]

Out[1]=
Infinity

In[2]:=
$Version

Out[2]=
5.2 for Microsoft Windows (June 20, 2005)

Regards,
-- 
Jean-Marc


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