The autonomous differential equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$ has a solution that is A) increasing everywhere B) decreasing everywhere C) increasing if $0 4$

Question

The autonomous differential equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$ has a solution that is A) increasing everywhere B) decreasing everywhere C) increasing if $0 < x < 4$ D) decreasing if $x > 4$ E) increasing if $x > 4$

Quizplus · Accepted Answer

The Answer of The autonomous differential equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$ has a solution that is A) increasing everywhere B) decreasing everywhere C) increasing if $0 < x < 4$ D) decreasing if $x > 4$ E) increasing if $x > 4$

The Autonomous Differential Equation dxdt=x2(x−4)\frac { d x } { d t } = x ^ { 2 } ( x - 4 )dtdx​=x2(x−4)

The Autonomous Differential Equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$