The Autonomous Differential Equation $\frac { d x } { d t } = x ( x - 1 ) ( x + 1 )$

question 15

Multiple Choice

The autonomous differential equation $\frac { d x } { d t } = x ( x - 1 ) ( x + 1 )$ has a solution that is

• A) increasing everywhere
• B) decreasing everywhere
• C) increasing if \(0 < x < 1\)
• D) decreasing if \(- 1 < x < 0\)
• E) increasing if \(x > 1\)

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