Suppose a student carrying a flu virus returns to an isolated college campus of 1000...

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Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. If 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, and assume that no one leaves the campus throughout the duration of the disease, determine the number of infected students after 6 days if it is further observed that after 4 days x(4) = 50.

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Solution determine the number of infected students after 6 days x is the number of infected students among 100 student then 1000x is the number of student that are not infected since the rate of the virus spreads is    See Answer
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