laplace confusion....

[Thomas_Sch]

regarding https://www-fourier.ujf-grenoble.fr/~par...cmd_en.pdf (page 322)
"... Or input : laplace(sin(t),t)
here the variable name is t and this name is also used in the answer.
Output : 1/((-t)^2+1)
Or input : laplace(sin(t),t,s)
here the variable name is t and the variable name of the answer is s.
Output: 1/((-s)^2+1) "
you could enter: laplace(e^(a*t),t,s)
and get what you want.