A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP/dt = P(10-1 - 10-7P), P(0)=6000, where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round to one decimal place.)
A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP/dt = P(10-1 - 10-7P), P(0)=6000, where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round to one decimal place.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A model for the population P(t) in a suburb of a large city is given by the initial-value problem
dP/dt = P(10-1 - 10-7P), P(0)=6000,
where t is measured in months.
What is the limiting value of the population?
At what time will the population be equal to one-half of this limiting value? (Round to one decimal place.)
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