(a) Write the solution of the initial-value problem dP/dt = 0.1P(1 - P/2000) P(0) = 100 and...

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(a) Write the solution of the initial-value problem dP/dt = 0.1P(1 - P/2000) P(0) = 100 and use it to find the population when t = 20,
(b) When does the population reach 1200?
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