A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(1 P -), P(0) = 4000, dt 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 5000, 4992 b. 1000,000, 58 C. 2500, 2498 d. 1000,000 55

A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(1 P -), P(0) = 4000, dt 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 5000, 4992 b. 1000,000, 58 C. 2500, 2498 d. 1000,000 55

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A model for the population P(t) in a suburb of a large city is given by the initial-value problem
dp
P(1
P
-), P(0) = 4000,
dt
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
а.
5000, 4992
b.
1000,000, 58
C.
2500, 2498
d.
1000,000 55

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