Question: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP/dt = P(10 -1 10

A model for the population P(t) in a suburb of a large city is given by the initial-value problem

dP/dt = P(10^-1 – 10^-7 P), P(0) = 5000,

where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one half of this limiting value?

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