# Homework Help: Inverse Laplace Transform

1. Sep 27, 2010

### Pietair

1. The problem statement, all variables and given/known data
Take the Inverse Laplace Transform of: $$Y(s)=\frac{1}{\tau s+1}\cdot \frac{1}{s}$$

2. The attempt at a solution
I know:
$$L^{-1}(\frac{1}{\tau s+1})=\frac{1}{\tau}e^{\frac{-t}{\tau}}$$
and:
$$L^{-1}({\frac{1}{s}})=1$$

But how to continue?

2. Sep 27, 2010

### LCKurtz

Factor tau out of the denominator of the first fraction in Y(s) and use partial fraction expansion to break Y(s) into the sum of two simple fractions.

3. Sep 27, 2010

### Pietair

Awesome, thanks a lot!