The two-tank system of in Section 7.1 leads to the initial value problem x _ = 1 10 3 40
Chapter 7, Problem 22(choose chapter or problem)
The two-tank system of in Section 7.1 leads to the initial value problem x _ = 1 10 3 40 1 10 1 5 x, x(0) = _17 21 _, where x1 and x2 are the deviations of the salt levels Q1 and Q2 from their respective equilibria. a. Find the solution of the given initial value problem. G b. Plot x1 versus t and x2 versus t on the same set of axes. N c. Find the smallest time T such that |x1(t)| 0.5 and |x2(t)| 0.5 for all t T . 2
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