6. 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 9 days.
6. 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 9 days.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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