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

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) $P = 3 / \left( 4 + e ^ { - 12 t } \right)$