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Suppose that the certain population obeys the logistics equation dP / dt = 0.025·P ·(1−P /...

Suppose that the certain population obeys the logistics equation
dP / dt = 0.025·P ·(1−P / C)

where C is the carrying capacity. If the initial population P0 = C/3, find the time t∗ at which the initial population has doubled, i.e., find time t∗ such that P(t∗) = 2P0 = 2C/3.

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