Chapter 5.8, Problem 21P

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:

$y^{\left(4\right)}+17y\text{'}\text{'}+16y=g\left(t\right);y\left(0\right)=2,y\text{'}\left(0\right)=0,y\text{'}\text{'}\left(0\right)=0,y\text{'}\text{'}\text{'}\left(0\right)=0$