3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000 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. a) determine the number of infected students after 6 days if it is further observed that after 4 days x(4)= 50. b) What happens after a long time? Analyze your result using a plot of the general solution

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Chapter2: Second-order Linear Odes
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3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000
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.
a) determine the number of infected students after 6 days if it is further observed that
after 4 days x(4)= 50.
b) What happens after a long time? Analyze your result using a plot of the general
solution

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