Text: DER DIFFERENTIAL EQUATIONS
mixture 5 L/min
and 23. For these
100 L
100 L
50 L
system.
mixture 5 L/min
mixture 5 L/min
FIGURE 8.2.7 Mixing tanks in Problem 49
50. For the linear system in Problem 49: (a) Show that x(t) + x2(t) + x3(t) = 55. Interpret this result. (b) What are lim x(t), lim x2(t), and lim x3(t)? Interpret this result.
Computer Lab Assignments 51. Find phase portraits for the systems in Problems 38, 39, and 40. 52. Solve (2) of Section 7.6 using the method outlined in the Remarks (page 351); that is, express (2) of Section 7.6 as a first-order system of four linear equations.