Mathematics, 25.02.2020 16:19, powellkhalil58

Consider a population of rabbits in a region with unlimited food resources. Suppose that the growth rate is proportional to the population with a proportionality factor of 4 per month, and every month we collect 3 rabbits. Then, the rabbit population is described by the differential equation
y′=4y−3.

a. Find an explicit expression of all solutions y of the differential equation above. Denote by c any arbitrary integration constant.
b. Suppose the initial rabbit population is 5. From all the solutions above, find the only solution that satisfies the initial condition y(0)=5

Answers: 2

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Consider a population of rabbits in a region with unlimited food resources. Suppose that the growth...