model for the population P(t) in a suburb of a large city is given by the initial-value problem dP P(10-1 - 10-7P). P(0) = 6000, dt ere t is measured in months. d the population P of the suburb at time t. =) = mat is the limiting value of the population? what time will the population be equal to one- of this limiting value? (Round your answer to one decimal place.) months
model for the population P(t) in a suburb of a large city is given by the initial-value problem dP P(10-1 - 10-7P). P(0) = 6000, dt ere t is measured in months. d the population P of the suburb at time t. =) = mat is the limiting value of the population? what time will the population be equal to one- of this limiting value? (Round your answer to one decimal place.) months
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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Transcribed Image Text:A model for the population P(t) in a suburb of a large city is given by the initial-value problem
dP
P(10-1- 10-7P),
P(0) = 6000,
dt
where t is measured in months.
Find the population P of the suburb at time t.
P(t) =
What is the limiting value of the population?
At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.)
months
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