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Differential Equationshard
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A population model follows dPdt=0.2P(1−P500)−5\frac{dP}{dt} = 0.2P(1 - \frac{P}{500}) - 5dtdP​=0.2P(1−500P​)−5. What is the threshold harvesting rate HHH above which the population is guaranteed to go extinct regardless of initial population?