Chapter 3, Problem 3.17E

UseLaplace transforms to find the solution to the following set of equations
   $\begin{array}{l}\frac{d{y}_1}{dt}+y_2=x\\ \frac{d{y}_2}{dt}+3y_2=2y_1\end{array}$
for $x=e^{-t}$ end zero initial conditions.