Solve the Differential Equation $\frac { d Q } { d t } = 200 - 0.2 Q$

Multiple Choice

Solve the differential equation $\frac { d Q } { d t } = 200 - 0.2 Q$ subject to $Q ( 0 ) = 1500$ .

A) $Q ( t ) = 500 e ^ { - 0.2 t } + 1000$
B) $Q ( t ) = - 500 e ^ { - 0.2 t } + 1000$
C) $Q ( t ) = 1300 e ^ { - 0.2 t } + 200$
D) $Q ( t ) = - 1300 e ^ { - 0.2 t } + 200$