The Differential Equation $\frac { d P } { d t } = ( k \cos t ) P$

The differential equation $\frac { d P } { d t } = ( k \cos t ) P$ , where k is a positive constant, models a population that undergoes yearly fluctuations. The solution of the equation is

A) $P = e ^ { c k \sin t }$
B) $P = c e ^ { k \cos t }$
C) $P = c e ^ { - k \cos t }$
D) $P = c e ^ { - k \sin t }$
E) $P = c e ^ { k \sin t }$

Correct Answer:

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