Chapter 3.4, Problem 9E

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 $3-8.$ )
9. $\frac{dY}{dt}=\left(\begin{array}{rr}\hfill 0& \hfill 2\\ \hfill -2& \hfill 0\end{array}\right)Y,$ with initial condition $Y_0=(1,0)$