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A 500-gallon tank initially contains 100gal of brine containing 50lb of salt. Brine containing 2lb of...

A 500-gallon tank initially contains 100gal of brine containing 50lb of salt. Brine containing 2lb of salt per gallon enters the tank at the rate of 4gal per minute and the well stirred solution leaves the tank at a rate of 8gal per minute.

(a) How long will it be before the tank is empty

(b) Determine the differential equation that gives the amount A(t) of salt (in pounds) in the tank at any time t before it is emptied.

(c) Solve your differential equation

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