A 50 gallon tank initially contains 20 gallons of pure water. Salt solution, at 0.5 lb/gal, begins entering the tank at a rate of 4 gal/min. Simultaneously, a 2 gal/min drain is opened in the bottom of the tank. Let s(t) be the amount of salt in the tank at time t. poor (a) Set up and solve an IVP governing s(t). Don't forget an initial condition! (b) s(t) = What is the salinity of the tank (lb/gal) at the moment the tank begins to overflow?

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