Chapter 9.1, Problem 16P

Problems

For Problem 15-16, convert the given system of differential equations to a first-order linear system.

$\frac{d^{2}x}{d{t}^2}-3\frac{dy}{dt}+x=\sin t$, $\frac{d^{2}y}{d{t}^2}-t\frac{dx}{dt}-e^{t}y=t^2$.