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

Question

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The Answer of 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

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

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