$(1$ point$)$

$a.$ Find the most general real$-$valued solution $to$ the linear system $of$ differential equations vec$(x{)}^{\text{'}}=\left[\begin{array}{cc}-2& -25\\ 1& -2\end{array}\right]$vec$(x).$

$\left[\begin{array}{c}{x}_1(t)\\ x_2(t)\end{array}\right]=c_1[]+c_2[]$

$b.In$ the phase plane, this system $is$ best described $asa$

source $\frac{?}{?}$ unstable node

$sink\frac{?}{?}$ stable node

saddle

center point $\frac{?}{?}$ ellipses

spiral source

spiral sink

none $of$ these

Part $A$