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The Critical Point (0,0)( 0,0 ) Of the System dxdt=4x−y,dydt=x+2y\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) ( 0,0 ) of the system dxdt=4x−y,dydt=x+2y\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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