A tank is filled with 300 liters of contaminated water containing 3 kg of toxin. Pure water
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A tank is filled with 300 liters of contaminated water containing 3 kg of toxin. Pure water is pumped in at a rate of 40 L/min, mixes instantaneously, and is then pumped out at the same rate. Let y(t) be the quantity of toxin present in the tank at time t.
(a) Find a differential equation satisfied by y(t).
(b) Solve for y(t).
(c) Find the time at which there is 0.01 kg of toxin present.
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a The net flow of toxin into or out of the tank at time t is dy ...View the full answer
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