If $a > 0$ And $b > 0$ , the Autonomous Differential Equation

Multiple Choice

If $a > 0$ and $b > 0$ , 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 $0 < P < a / b$
D) decreasing if $0 < P < a / b$
E) increasing if $P > a / b$