Question: invlaplace isn't working

hello,

Inverse laplace (invlaplace) isn't working.

g(s) is an exponential function expressed by the linear equation of s.

d(s) is an exponential function expressed by the  quadratic equation of s.

g(s)'s invplace is worked well, but d(s) isn't working. What happen?

restart;
with(inttrans);

g(s) := s -> exp(-3*s):


gg(t) := t -> invlaplace(g(s), s, t):


gg(t);
                          Dirac(t - 3)


d(s) := s -> exp(s^2):


k(t) := t -> invlaplace(d(s), s, t):


k(t);
                           /      uminus01/   / 2\      \  
     Typesetting:-mcomplete\ℒ        \exp\s /, s, t/, 

                         /[          /   / 2\      \]\\
       Typesetting:-_Hold\[invlaplace\exp\s /, s, t/]//


 

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