Assume That $a > 0$ $b > 0$ the Autonomous Differential Equation

Multiple Choice

Assume that $a > 0$ , $b > 0$ . The autonomous differential equation $\frac { d P } { d t } = P ( a + b P )$ has a solution that is

A) increasing everywhere
B) decreasing everywhere
C) increasing if $- a / b < P < 0$
D) decreasing if $- a / b < P < 0$
E) decreasing if $P < - a / b$