Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. It is assumed that the rate at which the virus spreads is proportional not only to the number x of infected students but also to the number of students not infected. It is observed that after 4 days, 40 students are infected. (a) Write the initial value problem that is
Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. It is assumed that the rate at which the virus spreads is proportional not only to the number x of infected students but also to the number of students not infected. It is observed that after 4 days, 40 students are infected. (a) Write the initial value problem that is
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. It is assumed that the rate at which the virus spreads is proportional not only to the number x of infected students but also to the number of students not infected. It is observed that after 4 days, 40 students are infected.
(a) Write the initial value problem that is associated with this scenario.
(b) Solve the IVP and determine the number of infected students after 8 days.
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