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

Multiple Choice

The autonomous differential equation $\frac { d x } { d t } = x ( x - 1 ) ( x + 1 )$ has a solution that is

A) increasing everywhere
B) decreasing everywhere
C) increasing if $0 < x < 1$
D) decreasing if $- 1 < x < 0$
E) increasing if $x > 1$