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Mathematics, 27.02.2020 19:26 mnknmklhnklnj2583

Suppose a student carrying a flu virus returns to an isolated college campus (no student leaves the campus) of 1000 students. If it is assumed that the rate at which the virus spreads is proportional not only to the number to infected students but also to the number of students not infected, determine the number of infected students after 6 days if it is further observed that after 4 days x(4)=50. Use the logistics equation, one can write a mathematical model of this situation as follows. dx/dt = kx(1000 - x), x(0) = 1

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