inverse laplace transform?

[cedance]

hi,

i need to find the inverse laplace transform of

a = exp(1+s)

b = exp(1+s)/ (-1+exp(1+s))


i used matlab and mathematica to find the inverse laplace and couldnt find the answer. if u could get the inverse, pls post the method and also the result. thanks.

/cedance.

PS: pls dont ask me to try any other softwares like mathcad etc... as a reply.

 

[steve10]

The Laplace inverse of a function may not exist. A sufficient condition that I know of sets strong restrictions on the growth rate of the functions. Nonetheless, it does not mean that a funtion won't have a Laplace inverse if it does not satisfy the conditions. One thing that I can assure you that the functions you listed are not guarrantted to have Laplace inverses by any theorems that I saw. Therefore, only the God is with you when you do it. Attached is a try to the first function and apparently, you have to carry out all step in the paradise of distribution (generalized function). Even worse, it does not guarranttee a round trip if you try to Laplace the function again.

 

[steve10]

Didn't find a better way for your second function. Here is a tryout ... a series.