Chapter 5.6, Problem 5P

In each of Problems $1$ through $13$, find the solutions of the given initial value problem. Draw the graphs of the solution and of the forcing function; explain how they are related.

$y\text{'}\text{'}+3y\text{'}+2y=f(t);$ $y(0)=0,$ $y\text{'}(0)=0;$

$f(t)=\{\begin{array}{c}1,\\ 0,\end{array}\begin{array}{c}0\le t<10\\ t\ge 10\end{array}$