Leplace Transform

y''-2y'+2y = 0

y(0)=0
y'(0)=1

The Attempt at a Solution

e^at sin(bt)

I did this problem earlier with some help, but if someone could post the steps along the way so I could do a few more similiar to it, I would appreciate it.

$$L(y) \ = \frac{1}{s^2-2s+2}$$