Chapter 8.1, Problem 6E

In Problems 1–6 write the given linear system in matrix form.

6. $\begin{array}{l}\frac{dx}{dt}=-3x+4y+e^{-t}\sin 2t\\ \frac{dy}{dt}=5x+9z+4e^{-t}\cos 2t\\ \frac{dz}{dt}=y+6z-e^{-t}\end{array}$