Math Help - inverse laplace

1. inverse laplace

find the inverse laplace of 1/((s^2+8s+17)(1+e^(-pi*s)))

here second shifting can be applied but how as e^(-pi*s) is in the denominator

2. Re: inverse laplace

You have to expand

$\frac{1}{(1+e^{-\pi s})}$

as an infinite series.

3. Re: inverse laplace

what is the expansion series of 1/(1+e^-x)

4. Re: inverse laplace

Make use of the binomial expansion,

$\frac{1}{1+x}=1-x+x^{2}-x^{3}+x^{4}- \dots.$