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Differential Equationsmedium
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A population P(t)P(t)P(t) is governed by dPdt=0.02P(1−P500)\frac{dP}{dt} = 0.02P(1 - \frac{P}{500})dtdP​=0.02P(1−500P​). If the population is currently 250, what is the rate of change of the population per unit time?