Assume that in the absence of immigration and emigration, the growth of a country's population P(t) satisfies dP/dt-AP for some constant &> 0 (see Equation (1) of Section 1.33. Determ differential equation governing the growing population P() of the country when individuals are allowed to immigrate into the country at a constant rate r 0. (Use for P Kp+r x What is the differential equation for the population P() of the country when individuals are allowed to emigrate at a constant rater > 07 r

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