A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt 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 your answer to one decimal place.) months
A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt 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 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
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3.2-2
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(10-110-7P), P(0) = 4000,
dt
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 your answer to one decimal place.)
months
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3.2 - 2-1
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 your answer to one decimal place.)
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(10-110-7P), P(0) = 4000,
dt
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 your answer to one decimal place.)
months
Solution
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