Mathematics, 03.07.2020 20:01 stricklandashley43
Suppose a student carrying a flu virus returns to an isolated college campus of 6000 students. Determine a differential equation governing the number of students x(t) who have contracted the flu if the rate at which the disease spreads is proportional to the number of interactions between students with the flu and students who have not yet contracted it. (Use k > 0 for the constant of proportionality and x for x(t).)
Answers: 2
![\dfrac{dx}{dt}= kx[6000-x], x(0)=0, k0](/tpl/images/0700/7390/4957d.png)
![\dfrac{dx(t)}{dt}\propto x(t)[6000-x(t)] \\$Introducing the constant of proportionality, k, we have:\\\dfrac{dx}{dt}= kx[6000-x]](/tpl/images/0700/7390/402a2.png)
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Suppose a student carrying a flu virus returns to an isolated college campus of 6000 students. Deter...
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