inverse laplace of s certain function

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hello. I am trying to find the inverse laplace of a function such as exp(-3s)^2/(s-4) which I know the answer will have a unit step which is the Heaviside but unfortunately it is outputting me the same what I typed;ilaplace(f).Any ideas how to get the answer?

Accepted Answer

Star Strider
Star Strider on 1 Dec 2017
It works for me in R2017b:
syms s t
F = exp(-3*s)^2/(s-4);
f = ilaplace(F,s,t)
f =
heaviside(t - 6)*exp(4*t - 24)
  4 Comments
Marwan Malaeb
Marwan Malaeb on 1 Dec 2017
Try this please (1-exp(3s))^2/(s-4)
Star Strider
Star Strider on 1 Dec 2017
I get:
f =
exp(4*t) - 2*ilaplace(exp(3*s)/(s - 4), s, t) + ilaplace(exp(6*s)/(s - 4), s, t)
FWIW, WolframAlpha (link) can’t invert it either (as: invlaplace( (1-exp(3*s))^2/(s-4) )).

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