A tank contains 20kg of salt dissolved in 5000L of water. Brine that contains 0.03kg of salt per litre of water enters the tank at a rate of 25L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt remains in the tank after half an hour?
(Hint: Let y(t) be the mass of salt at time t, then dy/dt = (rate in) - (rate out) is separable)
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