Problem Suppose a student carrying a flu virus returns to an isolated college campus of 3000 students. (a) Determine an initial value problem governing the number of students r(t) who have contracted the flu if the rate at which the disease spreads is proportional to the product between the number of students with the flu and the number of students who have not yet contracted it. Use k> 0 for the constant of proportionality. (b) Solve the initial value problem in Part (a). (c) Let the time t be measures by days. Suppose by the end of the tenth day, there are 30 students contracted with the flu. Find the constant of proportionality k.
Problem Suppose a student carrying a flu virus returns to an isolated college campus of 3000 students. (a) Determine an initial value problem governing the number of students r(t) who have contracted the flu if the rate at which the disease spreads is proportional to the product between the number of students with the flu and the number of students who have not yet contracted it. Use k> 0 for the constant of proportionality. (b) Solve the initial value problem in Part (a). (c) Let the time t be measures by days. Suppose by the end of the tenth day, there are 30 students contracted with the flu. Find the constant of proportionality k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Problem Suppose a student carrying a flu virus returns to an isolated college campus of
3000 students.
(a) Determine an initial value problem governing the number of students r(t) who have
contracted the flu if the rate at which the disease spreads is proportional to the product
between the number of students with the flu and the number of students who have not
yet contracted it. Use k> 0 for the constant of proportionality.
(b) Solve the initial value problem in Part (a).
(c) Let the time t be measures by days. Suppose by the end of the tenth day, there are 30
students contracted with the flu. Find the constant of proportionality k.
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