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Differential Equationsmedium
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A population of organisms is governed by the differential equation dPdt=0.02P−4\frac{dP}{dt} = 0.02P - 4dtdP​=0.02P−4. If the initial population at t=0t=0t=0 is P(0)=300P(0) = 300P(0)=300, identify the equilibrium population and determine whether the population increases or decreases over time.