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Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 3P(20 - In P), dt with initial condition P(0)

Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 3P(20 - In P), dt with initial condition P(0) = 110. (a) What is the limiting value of the population? (b) What is the value of the population when t = 2?

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