Ononot — A population P(t) satisfies the logistic growth model \frac{

Differential Equationshard

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A population $P(t)$ satisfies the logistic growth model $\frac{dP}{dt} = 0.1P(1 - \frac{P}{1000})$ . If $P(0) = 100$ , what is the expression for $P(t)$ ?