Answer to Question #329796 in Differential Equations for ben

Question #329796

A pond on a fish farm has a carrying capacity of 1000 fish. The pond was originally stocked



with 100 fish. Let N(t) denote the number of fish in the pond after t months.



a) Set up a logistic differential equation satisfied by N(t), and plot an approximate graph



of a fish population.



b) Find the size of the population of fish with the highest rate of growth. Find this rate



given that the intrinsic rate of growth is 3.

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