# Laplace transform of (e^-s) / [ (s)(s-3) ]

1. Jun 11, 2016

### foo9008

1. The problem statement, all variables and given/known data

find the laplace transform of (e^-s) / [ (s)(s-3) ]

since there's (e^-s) which can be found in L { f(t-a) H(t-a) } = (e^-(as)) F(s) , so , i found a = 1 , then i found F(s) = 1/ [ (s)(s-3) ] , formula :

i have attached the working below , is it correct ? btw , the author's ans doesnt have H(t-a) , is the author's ans wrong ?
author's ans :

2. Relevant equations

3. The attempt at a solution
my working :

which is correct ? the author ? or me ?

Last edited: Jun 11, 2016
2. Jun 12, 2016

### Ray Vickson

There is no way that an author would have asked you to find the Laplace transform of $e^{-s}/(s(s-3))$. Are you sure it does not ask for the INVERSE Laplace transform? There is a huge difference between these two concepts.