Problems 35 through 37 deal with the closed three-tank sys- tem of Fig. 7.3.5, which is described
Question:
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
Step by Step Answer:
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis