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

Question 18

Multiple Choice

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


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

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