A very large tank initially contains 100L of pure water. Starting at time t = 0 a solution with a salt concentration of 0.6kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. Let y(t) be the amount of salt (in kilograms) in the tank after t minutes. What differential equation does y satisfy? Use the variable y for y(t). dy Answer (in kilograms per minute): dt 2. How much salt is in the tank after 50 minutes? Answer (in kilograms):

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