Finding Laplace Transform of F(s): A Struggling Student's Story

[drew1435]

Homework Statement

find laplace transform of F(s)= (1/t)*(exp(2t)-1)

Homework Equations

stated answer: ln(s/(s-2))

The Attempt at a Solution

i really don't know where to start with laplace. my teacher has done a terrible job really jusut explaining the simplr process. Should i distrivute the 1/t first?? But the laplace of 1/t does not exist correct? so do i just integrate exp(-st)(exp(2t)/t)

 

[Dick]

Right, the laplace transform of 1/t doesn't exist. But neither does the transform of exp(2t)/t. Look at the power series expansion of (exp(2t)-1)/t. The transform of that might exist.