Problems 35 through 37 deal with the closed three-tank sys- tem of Fig. 7.3.5, which is described

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Problems 35 through 37 deal with the closed three-tank sys- tem of Fig. 7.3.5, which is described by the equations in (24). Mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and from tank 3 into tank 1, all at the given flow rate r gallons per minute. The initial amounts x1 (0) = x0 (pounds), 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 deter- mine the limiting amount (as t → + ∞) of salt in each tank. Finally, construct a figure showing the graphs of x1(t), x2(1), and x3 (t).

r = 10, x0 = 18, V1 = 20, V2 = 50, V3 = 20

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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