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Inverse Laplace

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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