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Identical tanks Ti and T2 initially contain V gallons each of pure water. Starting at to = 0, a salt solution with constant concentration c
Identical tanks Ti and T2 initially contain V gallons each of pure water. Starting at to = 0, a salt solution with constant concentration c is pumped into Ti at r gal/min and drained from T1 into 72 at the same rate. The resulting mixture in T2 is also drained at the same rate. Assume that both tanks are well-mixed, so that the concentration of salt in both tanks is uniform. Determine the amount of salt Q1(t) and Q2(t) in tanks Ti and T2 for t > 0. Hint: Write differential equations for Q1(t) and Q2(t). Solve the first DE to find Q1(t). Then, plug in the solution you found into the second equation, and solve it to find Q2(t)
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