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The Population of a Village Increases Continuously at the Rate Proportional to the Number of Its Inhabitants Present at Any Time. If the Population of the Village Was 20000 in 1999 and 25000 in the Year 2004, What Will Be the Population of the Village in 2009? - Mathematics

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Question

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009?

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Solution

Let the population at any instant (t) be y.

It is given that the rate of increase of population is proportional to the number of inhabitants at any instant.

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Chapter 9: Differential Equations - Exercise 9.7 [Page 421]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.7 | Q 15 | Page 421
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