Explanation Given: The rate at which the innovations spread through the community is proportional to the number of people who have adopted it and the number of people who have not adopted it and the fixed population of the community is n . Formula used: Spread of innovation in the community: d T d x = k x y Here, the number of people who have adopted the innovation is x , the number of people who have not adopted the technology is y and the constant of proportionality is k . Calculation: Write the expression for the spread of innovation in the community. d t d x = k x y (1) Write the expression for the relation between number of people who have adopted it, the number of people who have not adopted it and the fixed population of the community

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Differential Equations

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Chapter 1.3, Problem 8E

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A differential equation for the number of people x(t) who have adopted the innovation at time t.

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Chapter 1.3, Problem 7E

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EBK ADVANCED ENGINEERING MATHEMATICS

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A differential equation for the number of people x ( t ) who have adopted the innovation at time t .

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