Ononot — A population P(t) is governed by \frac{dP}{dt} = 0.5P(1 - \f

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Differential Equationshard

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A population $P(t)$ is governed by $\frac{dP}{dt} = 0.5P(1 - \frac{P}{200}) - H$ . If $H=50$ , what is the qualitative behavior of the population?