- #1

- 20

- 0

really appreciate all of your help.

## Homework Statement

problem comes from here.

[itex]y''-2y'-2y=0[/itex] with initial conditions [itex]y(0) = 2 , y'(0) = 0[/itex]

I am stuck trying to decompose this line

[itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex]

## Homework Equations

Laplace Transforms Tables

## The Attempt at a Solution

[itex]y''-2y'-2y=0[/itex]

[itex]s^2\mathcal Y(s) - 2s - 2s\mathcal Y(s) -4 -2\mathcal Y(s) = 0[/itex]

[itex](s^2-2s-2)\mathcal Y(s) -2s-4=0[/itex]

[itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex]

and stuck here.. I cant figure out how to decompose last line.