A rabbit population on an island increases exponentially with growth rate k = 0.12
Chapter 9, Problem 46(choose chapter or problem)
A rabbit population on an island increases exponentially with growth rate k = 0.12 months1. When the population reaches 300 rabbits (say, at time t = 0), wolves begin eating the rabbits at a rate of r rabbits per month. (a) Find a differential equation satisfied by the rabbit population P (t). (b) How large can r be without the rabbit population becoming extinct?
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