A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp dt -= 0.1 P(1 P 1000,000 a. 5000, b. C. d. where t is measured in months. The limiting value of the population and the time will take the population be equal to one-half of this limiting value respectively are 29.1 1000,000, 58.1 P(0) = 3000, 2500, 85.1 1000,000 55.5
A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp dt -= 0.1 P(1 P 1000,000 a. 5000, b. C. d. where t is measured in months. The limiting value of the population and the time will take the population be equal to one-half of this limiting value respectively are 29.1 1000,000, 58.1 P(0) = 3000, 2500, 85.1 1000,000 55.5
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
dt
a.
b.
= 0.1 P(1
C.
d.
P
1000,000
where t is measured in months.
The limiting value of the population and the time will take the population
be equal to one-half of this limiting value respectively are
-), P(0) = 3000,
5000,
29.1
1000,000, 58.1
2500,
85.1
1000,000 55.5
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