In Figure 13.3.2(b) we have the graphs of u(x, t) on the interval [0, 6] for x 0, x

Chapter 13, Problem 10

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Discussion Problems

In Figure 13.3.2(b) we have the graphs of u(x, t) on the interval [0, 6] for x=0, \(x=\pi / 12\), \(x=\pi / 6\), \(x=\pi / 4\), and \(x=\pi / 2\). Describe or sketch the graphs of u(x, t) on the same time interval but for the fixed values \(x=3 \pi / 4\), \(x=5 \pi / 6\), \(x=11 \pi / 12\), and \(x=\pi\).

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