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In the Autonomous Differential Equation dxdt=x2(1x)\frac { d x } { d t } = x ^ { 2 } ( 1 - x )

Question 20

Multiple Choice

In the autonomous differential equation dxdt=x2(1x) \frac { d x } { d t } = x ^ { 2 } ( 1 - x ) , the critical point


A) x=0x = 0 is an attractor
B) x=0x = 0 is a repeller
C) x=1x = 1 is an attractor
D) x=1x = 1 is a repeller
E) x=1x = 1 is semistable

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