From: "Hui, James" <James.Hui@solvay.com>
Subject: ANTI-LAPLACE TRANSFORM
Date: Wed, 31 Mar 1999 16:09:36 +0200
Can anyone tell me the anti-Laplace (time domain) of the following function? Or, can someone direct me to an online source of Laplace transformation tables where I might find such information?
Thanks for your assistance.
Best regards,
James Hui, Ph.D.
ANTI-LAPLACE TRANSFORM
From: "Steven L. Shafer" <Steven.Shafer@Stanford.Edu>
Subject: RE: ANTI-LAPLACE TRANSFORM
Date: Thu, 1 Apr 1999 10:53:22 -0800
Dear Jim:
The Inverse Laplace Transform is:
A*((-(a*b*B) + a*b*c - a*B*c - b*B*c)/(a**2*b**2*c**2) +
(-a + B)/(a**2*(a - b)*(a - c)*E**(a*t)) +
(b - B)/((a - b)*b**2*(b - c)*E**(b*t)) +
(-B + c)/((a - c)*c**2*(-b + c)*E**(c*t)) +
(B*t)/(a*b*c))
Mathematica is a great tool for this. The commands are:
<<Calculus`LaplaceTransform`
and
InverseLaplaceTransform[A (s+B)/(s s (s+a) (s+b) (s+c)),s,t]
Best regards,
Steve Shafer