Consider a population P at time t with net relative growth rate k and constant emigration rate m. 2. a) Show that the time rate of change of P is modeled by the differential equation dP = kP – m dt where k and mare positive constants. b) Find the general solution of this differential equation, given that P = P, when (= 0. Show that c) (i) if m = kP, , then the population P(t) is constant (ii) for m > kP,, the population P(t) is declining.

Consider a population P at time t with net relative growth rate k and constant emigration rate m. 2. a) Show that the time rate of change of P is modeled by the differential equation dP = kP – m dt where k and mare positive constants. b) Find the general solution of this differential equation, given that P = P, when (= 0. Show that c) (i) if m = kP, , then the population P(t) is constant (ii) for m > kP,, the population P(t) is declining.

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter20: Economic Growth

Section: Chapter Questions

Problem 4SCQ: Assume there are two countries: South Korea and the United States. South Korea grows at 4 and the...

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