Solve the problem. dP The rate of growth of a population P is given by t =kP+N, where N is a constant representing the net increase in population per unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t=0 the population is Po P-Po - Jakt- B) P=(Po+N)ekt - N P = Poekt - N P. -Po - in kt - N

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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4.
Solve the problem.
dP
The rate of growth of a population P is given by at
unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t=0 the
population is Po.
P-Po - Jakt-
B) P=(Po+N)ekt - N
P=Poekt N
A
℗
= kP+N, where N is a constant representing the net increase in population per
P = (Po + #inkt - V
k
Transcribed Image Text:Solve the problem. dP The rate of growth of a population P is given by at unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t=0 the population is Po. P-Po - Jakt- B) P=(Po+N)ekt - N P=Poekt N A ℗ = kP+N, where N is a constant representing the net increase in population per P = (Po + #inkt - V k
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