A) The population of a country has grown at a rate proportional to the number of people in this country. At present, the country has 75 million inhabitants. Six years ago, it had 63 million. Assuming that this trend continues, find: (a) an expression for the approximate number of people living in the country at any time t (taking t = 0 to be the present time). (b) the approximate number of people who will inhabit the country at the end of the next fifteen-years period.

A) The population of a country has grown at a rate proportional to the number of people in this country. At present, the country has 75 million inhabitants. Six years ago, it had 63 million. Assuming that this trend continues, find: (a) an expression for the approximate number of people living in the country at any time t (taking t = 0 to be the present time). (b) the approximate number of people who will inhabit the country at the end of the next fifteen-years period.

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) The population of a country has grown at a rate proportional to the number of people in this country. At
present, the country has 75 million inhabitants. Six years ago, it had 63 million. Assuming that this trend
continues, find:
(a) an expression for the approximate number of people living in the country at any time t (taking t = 0
to be the present time).
(b) the approximate number of people who will inhabit the country at the end of the next fifteen-years
period.

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