The Solution of the Logistic Equation $\frac { d P } { d t } = P ( 8 - 2 P )$

question 1

Multiple Choice

The solution of the logistic equation $\frac { d P } { d t } = P ( 8 - 2 P )$ with initial condition $P ( 0 ) = 2$ is

• A) \(P = 4 / \left( 2 - e ^ { - 8 t } \right)\)
• B) \(P = 2 / \left( 8 + e ^ { - 8 t } \right)\)
• C) \(P = 8 / \left( 2 + e ^ { - 8 t } \right)\)
• D) \(P = 8 / \left( 2 - e ^ { - 8 t } \right)\)
• E) \(P = 4 / \left( 1 + e ^ { - 8 t } \right)\)

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