The Solution of the Equation $\frac { d P } { d t } = P ( 12 - 3 P )$

question 13

Multiple Choice

The solution of the equation $\frac { d P } { d t } = P ( 12 - 3 P )$ with initial condition $P ( 0 ) = 3$ is

• A) \(P = 12 / \left( 3 + e ^ { - 12 t } \right)\)
• B) \(P = 4 / \left( 3 + e ^ { - 12 t } \right)\)
• C) \(P = 4 / \left( 3 - e ^ { - 12 t } \right)\)
• D) \(P = 3 / \left( 12 + e ^ { - 12 t } \right)\)
• E) \(P = 3 / \left( 4 + e ^ { - 12 t } \right)\)