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The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 60 million inhabitants. Ten years ago it had less 20% of the present population. Assuming that this trend continues, find

The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 60 million inhabitants. Ten years ago it had less 20% of the present population. Assuming that this trend continues, find

Advanced Engineering Mathematics
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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Please solve questions a and b
The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 60 million inhabitants. Ten years ago it had less 20% of the present population. 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 ten-year period.
Transcribed Image Text:The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 60 million inhabitants. Ten years ago it had less 20% of the present population. 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 ten-year period.
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