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Which of the Following Systems Are Autonomous? Select All That dxdt=x+y,dydt=2t3sint\frac { d x } { d t } = x + y , \frac { d y } { d t } = 2 t - 3 \sin t

Question 18

Multiple Choice

Which of the following systems are autonomous? Select all that apply.


A) dxdt=x+y,dydt=2t3sint\frac { d x } { d t } = x + y , \frac { d y } { d t } = 2 t - 3 \sin t
B) dxdt=3.5x+2y,dydt=2x5y\frac { d x } { d t } = 3.5 x + 2 y , \frac { d y } { d t } = 2 x - 5 y
C) dxdt=x+y,dydt=2xet3y\frac { d x } { d t } = x + y , \frac { d y } { d t } = 2 x e ^ { t } - 3 y
D) dxdt=0,dydt=2cosx3y\frac { d x } { d t } = 0 , \frac { d y } { d t } = 2 \cos x - 3 y
E) dxdt=t2+1,dydt=15x4y\frac { d x } { d t } = t ^ { 2 } + 1 , \frac { d y } { d t } = 15 x - 4 y

Correct Answer:

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