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The Solution of the Equation dPdt=P(123P)\frac { d P } { d t } = P ( 12 - 3 P )

Question 2

Multiple Choice

The solution of the equation dPdt=P(123P) \frac { d P } { d t } = P ( 12 - 3 P ) with initial condition P(0) =3P ( 0 ) = 3 is


A) P=12/(3+e12t) P = 12 / \left( 3 + e ^ { - 12 t } \right)
B) P=4/(3+e12t) P = 4 / \left( 3 + e ^ { - 12 t } \right)
C) P=4/(3e12t) P = 4 / \left( 3 - e ^ { - 12 t } \right)
D) P=3/(12+e12t) P = 3 / \left( 12 + e ^ { - 12 t } \right)
E) P=3/(4+e12t) P = 3 / \left( 4 + e ^ { - 12 t } \right)

Correct Answer:

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