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

Question

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 $P < - a / b$

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The Answer of 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 $P < - a / b$

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

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