concern the differential equationdx dt D kx2;where k is a constant.Suppose a population

Chapter 3, Problem 45

(choose chapter or problem)

concern the differential equationdx dt D kx2;where k is a constant.Suppose a population P of rodents satises the differential equation dP=dt D kP 2. Initially, there areP.0/D 2rodents, and their number is increasing at the rate of dP=dt D 1 rodent per month when there are P D 10 rodents. Based on the result of 43, how long will it take for this population to grow to a hundred rodents? To a thousand? Whats happening here?

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