Chapter 5.8, Problem 16P

In each of Problems $14$ through $21$, express the total response of the given initial value problem using a convolution integral to represent the forced response:

$4y\text{'}\text{'}+4y\text{'}+17y=g\left(t\right);y\left(0\right)=0,y\text{'}\left(0\right)=0$