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In 1986 the Chernobyl nuclear disaster in the Soviet Union contaminated the atmosphere. The buildup of radioactive material in the atmosphere satisfies the differential equation
In 1986 the Chernobyl nuclear disaster in the Soviet Union contaminated the atmosphere. The buildup of radioactive material in the atmosphere satisfies the differential equation dM dt = r k r M where M is the mass of the radioactive material in the atmosphere after time t (in years), k is the rate at which the radioactive material is introduced into the atmosphere, r is the annual decay rate of the radioactive material. Find the solution, M(t), of this differential equation in terms of k and r
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