Solution Found!
At a time denoted as t = 0 a technological innovation is
Chapter 1, Problem 8E(choose chapter or problem)
At a time denoted as t = 0 a technological innovation is introduced into a community that has a fixed population of n people. Determine a differential equation for the number of people x(t) who have adopted the innovation at time t if it is assumed that the rate at which the innovations spread through the community is jointly proportional to the number of people who have adopted it and the number of people who have not adopted it.
Questions & Answers
QUESTION:
At a time denoted as t = 0 a technological innovation is introduced into a community that has a fixed population of n people. Determine a differential equation for the number of people x(t) who have adopted the innovation at time t if it is assumed that the rate at which the innovations spread through the community is jointly proportional to the number of people who have adopted it and the number of people who have not adopted it.
ANSWER:Step 1 of 2
People who have adopted technology:
People who haven't adopted technology:
Proportionality constant
Technology spreading rate:
