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

question 25

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 \(P > a / b\)

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