Chapter 3.4, Problem 10E

In Exercises 9-14, the linear systems are the same as in Exercises $3-8$ . Forleach system,

(a) find the general solution;

(b) find the particular solution with the given initial value; and

(c) sketch the $x(t)$ - and $y(t)$ -graphs of the particular solution. (Compare these sketches with the sketches you obtained in the corresponding problem from Exercises $3-8.$ )

10. $\frac{dY}{dt}=\left(\begin{array}{rr}\hfill 2& \hfill 2\\ \hfill -4& \hfill 6\end{array}\right)Y,$ with initial condition $Y_0=(1,1)$