1. The problem statement, all variables and given/known data y''-6y+9y=2 y(0)=y'(0)=0 *Note* Professor will NOT allow use of partial fractions, so please don't use it. 2. Relevant equations Laplace transform table Y=[y'(0)+sy(0)+ay(0)+R]/[(s^2)+as+b] 3. 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.