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I have a function like this: U = coth(s/100)/(s^3 + a*s + b) and i use ilaplce(U,s,t) to find invers laplace transform, but matlab can not give me the answer.

>> syms t x s
>> U = coth(s/100)/(s^3 + s^2 + 1);
>> u = ilaplace(U,s,t)
u =
ilaplace(coth(s/100)/(s^3 + s^2 + 1), s, t)

i try doing inverse of another function of coth(), but i receive the same result.

>> K = coth(s);
>> k = ilaplace(K,s,t)
k =
ilaplace(coth(s), s, t)
>> 

i try to do it with maple, but there is still no answer:

> with(inttrans);
> invlaplace(coth(s), s, t);
                          invlaplace(coth(s), s, t)

So what should i do ? thanks for answer !

share|improve this question
    
have you considered that there is no analytic expression for that? I'd try Mathematica... (or wolfram alpha) –  natan Jun 8 '13 at 2:44
1  
InverseLaplaceTransform[Coth[s/100]/(s^3 + s^2 + 1), s, t] in Mathematica 9 finds no solution as well. –  horchler Jun 8 '13 at 15:09

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