Chapter 5.4, Problem 15P

In each of Problems $14$ through $19$, use the Laplace transform to solve the given initial value problem:

$y\text{'}=\left(\begin{array}{cc}5& -2\\ 6& -2\end{array}\right)y,y\left(0\right)=\left(\begin{array}{c}1\\ 0\end{array}\right)$.