The Autonomous Differential Equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$

question 22

Multiple Choice

The autonomous differential equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$ has a solution that is

• A) increasing everywhere
• B) decreasing everywhere
• C) increasing if \(0 < x < 4\)
• D) decreasing if \(x > 4\)
• E) increasing if \(x > 4\)

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The consumption of an excessive amount of alcohol in a short period of time, typically defined as five or more drinks for men, and four or more for women, in about two hours.

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