Chapter 7.10, Problem 1E

In Problems 1-19, use the method of Laplace transform to solve the given initial value problem. Here $x^{\prime }$, $y^{\prime }$, etc., denotes differentiation with respect to $t$; so does the symbol $D$.

$x^{\prime }=3x-2y$; $x\left(0\right)=1$,

$y^{\prime }=3y-2x$; $y\left(0\right)=1$