Thread: proof for Laplace transform

Any ideas on how to prove that
L^(-1)(ln(s+5)/(s-2)) = [e^(2t) - e^(-5t)]/t ???

Thanks for any help...

Originally Posted by Hollysti

Any ideas on how to prove that
L^(-1)(ln(s+5)/(s-2)) = [e^(2t) - e^(-5t)]/t ???

Thanks for any help...

Instead show that,

L{ e^(2t)/t - e^(-5t)/t } = ln(s+5)/(s-2)