Follow the steps below to use Laplace transforms to solve th
Follow the steps below to use Laplace transforms to solve the following initial value problem.
Solution
a)Y(s)(s^2-3s-18)-sy(0)-y\'(0)+3y(0)=L(1)=1/s b)Y(s)=1/(s(s^2-3s-18)) c)y(t)=L inverse(-1/(18s)+1/(54(s-6))+1/(27(s+3))) =-1/18+e^(6t)/54+e^(-3t)/27