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3. A tank initially contains a solution of 10 lbs of salt dissolved in 60 gallons...

3. A tank initially contains a solution of 10 lbs of salt dissolved in 60 gallons of water. At time t(0) = 0, water that contains 1/2 lb of salt per gallon is added tot he tank at a rate of 6 gal/min, and the resulting solution leaves the tank at the same rate. (Trench: Sec 4.3, 9)

(a) What is the initial condition for the IVP?

(b) Write a differential equation to describe the rate of change dQ/dt in the amount of salt in the tank. You do not need to solve your model

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