A tank initially contains 20 gallons of pure water. A salt solution containing 2 lb/gal flows into the tank at a rate of 3 gal/min. A drain is open at the bottom of the tank through which flows salt solution from the tank at a rate of 2 gal/min. Set up and solve an initial value problem modeling the amount of salt in the tank at time t minutes. Write an inline function for your solution and use it to find the salt content in the tank at t = 30 minutes.
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