Classify the critical (equilibrium) points as asymptotically stable or unstable.

Question

Classify the critical (equilibrium) points as asymptotically stable or unstable. dy/dt = y(y - 2)(y - 4), y0 0 (0,0) is asymptotically stable, (2 , 0) is unstable, (4 , 0) is asymptotically stable. (0,0) is unstable, (2 , 0) is unstable, (4 , 0) is unstable. (0,0) is unstable, (2 , 0) is asymptotically stable, (4 , 0) is unstable. (0,0) is asymptotically stable, (2 , 0) is asymptotically stable, (4 , 0) is unstable. (0,0) is unstable, (2 , 0) is asymptotically stable, (4 , 0) is asymptotically stable.

Explanation / Answer

option C is the right answer.

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