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Mathematics, 18.02.2020 05:05 MrJonezy4529
A disease is infecting a colony of 1000 penguins living on a remote island. Let P(t) be the number of sick penguins t days after the outbreak. Suppose that 50 penguins had the disease initially, and suppose that the disease is spreading at a rate proportional to the product of the time elapsed and the number of penguins who do not have the disease.
(a) Give the mathematical model(differential equation and initial condition) for P.
(b) Find the generalsolution of the differential equation in (a).
(c) Find the particular solution that satisfies the initial condition.
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A disease is infecting a colony of 1000 penguins living on a remote island. Let P(t) be the number o...
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