We have a large tank initially containing 1, 200 gallons of pure water. We begin adding an ethanol-water mix at a rate of 5 gallons per minute. This ethanol-water mix being added is 70 percent ethanol. At the same time, the mixture in the tank is drained at a rate of 5 gallons per minute. Throughout this entire process, the mixture in the tank is thoroughly and uniformly mixed. Let y(t) be the number of gallons of pure ethanol in the tank t minutes after we started adding the ethanol-water mix.

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