This is a differential equation problem. A model for a population P(t) in a suburb is given by the initial value problem dP/dt = P((10^-1) - (10^-7)P), P(0) = 4000 where t is measured in months. What is the limiting value of the population, and at what time will the population be equal to 1/2 of the limiting value?
This is a differential equation problem. A model for a population P(t) in a suburb is given by the initial value problem dP/dt = P((10^-1) - (10^-7)P), P(0) = 4000 where t is measured in months. What is the limiting value of the population, and at what time will the population be equal to 1/2 of the limiting value?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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This is a differential equation problem.
A model for a population P(t) in a suburb is given by the initial value problem
dP/dt = P((10^-1) - (10^-7)P), P(0) = 4000 where t is measured in months.
What is the limiting value of the population, and at what time will the population be equal to 1/2 of the limiting value?
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