A population shows growth that is proportional to the number of inhabitants existing at a given time.a) Obtain a function that describes the growth of the population.b) If after 4 years the population is 12,000 inhabitants, what was the initial population?c) What will the population be in 10 years?d) How fast is the population growing at t = 12 years?

A population shows growth that is proportional to the number of inhabitants existing at a given time.a) Obtain a function that describes the growth of the population.b) If after 4 years the population is 12,000 inhabitants, what was the initial population?c) What will the population be in 10 years?d) How fast is the population growing at t = 12 years?

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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Question

A population shows growth that is proportional to the number of inhabitants existing at a given time.
a) Obtain a function that describes the growth of the population.
b) If after 4 years the population is 12,000 inhabitants, what was the initial population?
c) What will the population be in 10 years?
d) How fast is the population growing at t = 12 years?

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