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There are several ways to use software to perform the inverse laplace operation. The quickest and easiest way I have found is using Maple. It is loaded to all the machines in CIRT Pod. Suppose your
problem number 1 is as follows:
F(s) = 1 / (s + 1)^2 this is 1 over s plus 1 squared
You launch Maple and type in the following code:
with (inttrans):
Fprob1(s) := (1) / ((s + 1)^2);
Fprob1(t) := invlaplace (Fprob1(s), s, t);
You will be rewarded with the answer of: t exp(-t). I found myself using this method to quickly double check my work. This works for about 90 percent of the cases. There is another method to
do this using Matlab that I am researching out at this time.
Actually, this link gives an even better example than mine.
http://www.prenticehallmath.com/epdela/laprojects/chapt10/proj10.1/proj10-1.pdf
Here is a way that is boasted to be able to do the transforms with Matlab. I haven't tried it yet.
http://amath.colorado.edu/courses/2480/2001Spr/notes8.pdf
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