The Critical Point $( 0,0 )$ Of the System $\frac { d x } { d t } = 5 x + y , \frac { d y } { d t } = 3 x + 3 y$

Multiple Choice

The critical point $( 0,0 )$ of the system $\frac { d x } { d t } = 5 x + y , \frac { d y } { d t } = 3 x + 3 y$ is Select all that apply.

A) asymptotically stable
B) stable but not asymptotically stable
C) unstable
D) an attractor
E) a repeller