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Re: Simple Inverse Laplace transform

• To: mathgroup at smc.vnet.net
• Subject: [mg29637] Re: [mg29617] Simple Inverse Laplace transform
• From: Tomas Garza <tgarza01 at prodigy.net.mx>
• Date: Fri, 29 Jun 2001 01:36:10 -0400 (EDT)
• References: <200106280928.FAA06745@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Your command seems to be missing the two variables, s and t? You may use {a
> 0} or just a > 0. The answer comes without a hitch.

In[1]:=
InverseLaplaceTransform[1/s/E^(a*Sqrt[s]), s, t, Assumptions -> a > 0]
Out[1]=
-Sqrt[1/a^2]*a*(-1 + Erf[(Sqrt[1/a^2]*a^2)/(2*Sqrt[t])])

Tomas Garza
Mexico City

----- Original Message -----
From: "Toshiyuki (Toshi) Meshii" <meshii at mech.fukui-u.ac.jp>
To: mathgroup at smc.vnet.net
Subject: [mg29637] [mg29617] Simple Inverse Laplace transform


> Hello,
>
> Does somebody know a way to tell Mathematica 4.1 to obtain a simple
inverse
> Laplace transform of the following?
>
> In[1]:=InverseLaplaceTransform[1/s/E^(a*Sqrt[s]),
>   Assumptions -> {a > 0}]
>
> Out[1]:=InverseLaplaceTransform[1/(E^(a*Sqrt[s])*s),
>   Assumptions -> {a > 0}]
>
> Mathematica seems unable to handle it.
>
> -Toshi
>
>
>

• References:
  • Simple Inverse Laplace transform
    • From: "Toshiyuki \(Toshi\) Meshii" <meshii@mech.fukui-u.ac.jp>