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Boundary-Value Problems in Rectangular Coordinates
Chapter 12 Boundary-Value Problems in Rectangular Coordinates
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FIGURE 12.2.1 One-dimensional flow of heat
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FIGURE 12.2.2 Flexible string anchored at x = 0 and x = L
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FIGURE 12.2.3 Steady-state temperatures in a rectangular plate
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FIGURE Plucked string
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FIGURE 12.3.1 Temperatures in a rod of length L
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FIGURE 12.3.2 Graphs of (17) when one variable is held fixed
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FIGURE 12.3.3 Rod losing heat in Problem 5
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FIGURE 12.4.1 Frames of a CAS “movie”
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FIGURE 12.4.2 First three standing waves
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FIGURE 12.4.3 Initial displacement in Problem 7
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FIGURE 12.4.4 Initial displacement in Problem 8
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FIGURE 12.4.5 Initial displacement in Problem 9
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FIGURE 12.4.6 Initial displacement in Problem 10
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FIGURE 12.4.7 Vibrating bar in Problem 11
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FIGURE 12.4.8 Vibrating string in Problem 12
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FIGURE 12.4.9 Simply supported beam in Problem 17
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FIGURE 12.5.1 Steady-state temperatures in a rectangular plate
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FIGURE 12.5.2 Surface is graph of partial sums when f(x) = 100 and a = b = 1 in (10)
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FIGURE 12.5.3 Solution u = Solution u1 of Problem 1 + Solution u2 of Problem 2
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FIGURE 12.5.4 Plate in Problem 11
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FIGURE 12.5.5 Plate in Problem 12
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FIGURE 12.6.1 Plate in Problem 11
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FIGURE 12.7.1 Twisted shaft in Example 2
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FIGURE 12.7.2 Surface is the graph of a partial sum of (17) in Example 2
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FIGURE Angular displacements as a function of time at various cross sections of the rod in Example 2
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FIGURE 12.7.4 Vibrating cantilever beam in Problem 11
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FIGURE 12.8.1 (a) Rectangular plate and (b) rectangular membrane
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FIGURE 12.8.2 Rectangular parallelepiped in Problems 5 and 6
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FIGURE 12.R.1 Initial velocity g(x) in Problem 5
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FIGURE 12.R.2 Square plate in Problem 7
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FIGURE 12.R.3 Semi-infinite plate in Problem 8
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FIGURE 12.R.4 Infinite plate in Problem 10
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