Chapter 5.7, Problem 12P

In each of Problems $1$ through $12$, find the solutions of the given initial value problem. Draw the graphs:

$y^{(4)}+y=\delta (t-1);$ $y(0)=0,$ $y\text{'}(0)=0$

$y\text{'}\text{'}(0)=0$, $y\text{'}\text{'}\text{'}(0)=0$