A tank is filled to capacity with 400 gallons water containing30 lbs of salt. Brine containing 2 lbs of salt per gallon is pumpedinto the tank at a rate of 3 gallons per minute. The well mixedsolution is pumped out at rate of 3.5 gallons per minute. Determinethe differential equation of the model and solve for an equationrelating amount of salt in tank at time t. Determine the time untilthe tank is empty.
