Take the system $x' = 3+3x+xy , \quad y' = -5y+1$.

How many critical points are there? .

Take the critical point with the largest x-coordinate: ( , ).

The linearization at this point is $\begin{bmatrix} u \\ v \end{bmatrix} ' = A \begin{bmatrix} u \\ v \end{bmatrix}$ where $A$ is
$A = {}$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$

The behavior is
For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".