Chapter 5.4, Problem 11P

In each of Problems $1$ through $13$, use the Laplace transform to solve the given initial value problem:

$y^{\left(4\right)}-4y\text{'}"+6y"-4y\text{'}+y=0;y\left(0\right)=0,y\text{'}\left(0\right)=1,y"\left(0\right)=0,y\text{'}"\left(0\right)=1$.