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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Definitions:

-rrhage

A suffix in medical terminology indicating an excessive flow or discharge of fluid, often blood.

Burst Forth

To suddenly break out or emerge with force, often used metaphorically to describe the sudden appearance of something.

Prefix

A word, letter, or number placed before another to adjust or qualify its meaning.

Between

Used to indicate placement or occurrence in the space separating two points, objects, or intervals.