Chapter 5.7, Problem 3P

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

$y\text{'}\text{'}+3y\text{'}+2y=\delta (t-5)+u_{10}(t);$

$y(0)=0,$ $y\text{'}(0)=\frac{1}{2}.$