(бх + у?)dх + y(2х — Зу)dy %3D 0

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A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the jungle is 10,000. The number of monkeys tripled in the first year. Write a differential equation that describes the population of monkeys in the jungle. Solve your differential equation to find the number of monkeys in the jungle as a function of time. When will the number of monkeys reach 5,000? When is the number of monkeys growing the fastest. Describe the method you used and show all work.

A hamster receives a dose of 3 mg. of a compound and then 2/3 as much as the previous dose at the end of every hour. What is the maximum amount of the compound it will receive?   (Solve using Differential Equations)