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Differential Equationsmedium
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A population P(t)P(t)P(t) follows dPdt=rP(1−PK)\frac{dP}{dt} = rP(1 - \frac{P}{K})dtdP​=rP(1−KP​). What is the equilibrium solution P(t)=KP(t) = KP(t)=K representing?