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

question 18

Multiple Choice

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

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

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