Assume that in the absence of immigration and er
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Transcribed Image Text:Assume that in the absence of immigration and emigration, the growth of a country's population P(t) satisfies dP/dt = kP for some constant k > 0 (see Equation (1) of
Section 1.3). Determine a differential equation governing the growing population P(t) of the country when individuals are allowed to immigrate into the country at a constant
rate r> 0. (Use P for P(t).)
dP
kp +r
%3D
dt
What is the differential equation for the population P(t) of the country when individuals are allowed to emigrate at a constant rate r> 0?
dP
kp – r
%3D
dt
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Given in the absence of immigration and emigration, the growth of a country's population P(t) satisfies
for some constant k>0
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