The Critical Point $( 0,0 )$ Of the System $\frac { d x } { d t } = 4 x - y , \frac { d y } { d t } = x + 2 y$

question 23

Multiple Choice

The critical point $( 0,0 )$ of the system $\frac { d x } { d t } = 4 x - y , \frac { d y } { d t } = x + 2 y$ is Select all that apply.

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

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