- #1

f00lishroy

- 6

- 0

## Homework Statement

y''-6y+9y=2 y(0)=y'(0)=0

***Note***Professor will NOT allow use of partial fractions, so please don't use it.

## Homework Equations

Laplace transform table

Y=[y'(0)+sy(0)+ay(0)+R]/[(s^2)+as+b]

## The Attempt at a Solution

Y=L(2)/(s-3)^2

L(2)=2/s

Y=(2/s)[1/(s-3)^2]

Y=2*1/[s^3-6s^2+9s]

From here I cannot figure out how to continue without using partial fractions since I can't get the roots, from which I would be able to invert and use the Laplace Transform table.