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Question: Inverse laplace transform using factor in Maple 18

Question:Inverse laplace transform using factor in Maple 18

gaurav_rs 65 Maple
factor laplace
November 29 2017
0

Dear Maple users,

I have a big exporession in the form f(s)/g(s) where f and g are polynomial involving irrational coefficients. Both f and g consist of hundreds of terms. One way to get the inverse laplace is to factor the expression and then take the invlaplace.

The code is as follows:

with(inttrans):

p:=factor(f(s)/g(s));

sol:=invlaplace(p,s,t);

I get sol as a function of time, which gives satisfactory result for t=0 but  grows bigger and bigger with increasing value of time. From the limit theorum I see that  Limit (s*f(s)/g(s)) as s--> 0 is finite, which means that the invlaplace is not correct at very large value of time.

What is the error in the process?

Thanks,

 
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