Problems 31 through 34 deal with the open three-tank system of Fig. 7.3.2. Fresh water flows into
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Problems 31 through 34 deal with the open three-tank system of Fig. 7.3.2. Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and out of tank 3; all at the given flow rate r gallons per minute. The initial amounts x1 (0) = x0 (lb), x2 (0) = 0, and x3 (0) = 0 of salt in the three tanks are given, as are their volumes V1, V2, and V3 (in gallons). First solve for the amounts of salt in the three tanks at time t, then determine the maximal amount of salt that tank 3 ever contains. Finally, construct a figure showing the graphs of x1(1), x2(t), and x3(t).
r = 30, x0 = 27, V1 = 30, V2 = 15, V3 = 10
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Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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