Chapter 2.4, Problem 10E

In Exercises 5-12, we consider the partially decoupled system
$\begin{array}{l}\frac{dx}{dt}=2x+2y\\ \frac{dy}{dt}=-y\end{array}$

10. (a) Using the result of Exercise 7, determine the solution that satisfies the initial condition $Y\left(0\right)=\left(x\left(0\right),y\left(0\right)\right)=\left(-1,3\right)$
(b) In the xy-phase plane, plot the solution curve associated to this solution.
(c) Plot the corresponding x(t)- and y(t)-graphs.