Question

A tank initially contains 100 liters of water in which 50 grams of salt are dissolved. A salt solution containing 10 grams of salt per liter is pumped into the tank at the rate of 4 liters per minute, and the well-mixed solution is pumped out of the tank at the rate of 6 liters per minute. Let t denote time (in minutes), and let Q denote the amount of salt in the tank at time t (in grams). Write down the dierential equation dQ dt = something and initial condition describing this mixing problem.
DO NOT SOLVE THE INITIAL VALUE PROBLEM. JUST WRITE DOWN THE D.E. AND INITIAL CONDITION.

Answer 1