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Differential EquationsMediumSystems of Differential Equations

Systems of Differential Equations · Medium problem

Two tanks each hold 100100 L of brine. Well-mixed solution is pumped from tank A to tank B at 1010 L/min and from tank B back to tank A at 1010 L/min; nothing else enters or leaves. Initially tank A holds 2020 kg of salt and tank B holds none. How many kilograms of salt are in tank A at time t=5ln⁡2t=5\ln 2 minutes?