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Differential Equationsmedium
0:00.0

A population P(t)P(t) is modeled by the differential equation dPdt=0.08P(1−P1000)\frac{dP}{dt} = 0.08 P (1 - \frac{P}{1000}). If P(0)=200P(0) = 200, what is the expression for P(t)P(t)?