7. Sketch the solution curves in the phase plane and the $x(t)$- and $y(t)$-graphs for the solutions corresponding to the initial-value problems specified.
$\frac{dY}{dt} = \begin{pmatrix} -4 & 1 \\ 2 & -3 \end{pmatrix} Y$, $Y(0) = Y_0$
where the initial condition $Y_0$ is:
(a) $Y_0 = (1, 0)$ (b) $Y_0 = (2, 1)$ (c) $Y_0 = (-1, -2)$