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The Critical Points of the System dxdt=2x+y2,dydt=2x3y\frac { d x } { d t } = 2 x + y ^ { 2 } , \frac { d y } { d t } = 2 x - 3 y

Question 14

Multiple Choice

The critical points of the system dxdt=2x+y2,dydt=2x3y\frac { d x } { d t } = 2 x + y ^ { 2 } , \frac { d y } { d t } = 2 x - 3 y are


A) y=0,y=3y = 0 , y = - 3
B) x=0,x=9/2x = 0 , x = - 9 / 2
C) (0,0) ( 0,0 )
D) (0,0) ,(9/2,3) ( 0,0 ) , ( - 9 / 2 , - 3 )
E) (9/2,3) ( - 9 / 2 , - 3 )

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