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## Homework Statement

Im having trouble finding ways to manipulate equations to fit something from the table

The two i'm stuck on are these

1. [itex]\frac{1}{s^{2}- 2s + 3} (\frac{1+(s^{2}+1)e^{-3\Pi S}}{(s^{2}+1)})[/itex] = Y(s)

2.[itex]\frac{1}{s^{2}- 2s + 2} (\frac{s}{s^{2}+1} + s - 2)[/itex] = Y(s)

## Homework Equations

These are the IVPs i got them from

1. y" - 2y' + 3y = sint + [tex]\delta[/tex](t - 3*pi)

y(0) = 0

y'(0) = 0

2. y'' - 2y' + 2y = cost

y(0) = 1

y'(o) = 0

## The Attempt at a Solution

I tried all sorts of things like multiplying the equations out

i still can't seem to find a way to comfortably manipulate it to match anything on the laplace table

can some one help or give me a tip?