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

question 13

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 \(P < - a / b\)

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