Chapter 13Boundary-Value Problems in

Rectangular Coordinates

Figure 13.F0201: One-dimensional flow of heat

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Figure 13.F0202: Taut string anchored at two points on the x-axis. (a) Segment of string; (b) Englargement of segment

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Figure 13.F0203: Steady-state temperatures in a rectangular plate

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Figure 13.F0204: Plucked string

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Figure 13.F0301: Find the temperature u in a finite rod

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Figure 13.F0302ab: -Courtesy of Dennis Zill

Figure 13.F0303: Rod in Problem 5

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Figure 13.F0401abcdef: -

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Figure 13.F0402: First three standing waves. (a) First standing wave; (b) Second standing wave; (c) Third standing wave

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Figure 13.F0403: Initial displacement for Problem 7

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Figure 13.F0404: Initial displacement for Problem 8

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Figure 13.F0405: Initial displacement for Problem 9

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Figure 13.F0406: Initial displacement for Problem 10

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Figure 13.F0407: Elastic bar in Problem 11

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Figure 13.F0408: String whose ends are attached to frictionless sleeves in Problem 12

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Figure 13.F0409: Simply supported beam in Problem 23

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Figure 13.F0501: Find the temperature u in a rectangular plate

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Figure 13.F0502: -Courtesy of Dennis Zill

Figure 13.F0503: -

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Figure 13.F0504: Semi-infinite Plate in Problem 11

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Figure 13.F0505: Semi-infinite Plate in Problem 12

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Figure 13.F0601: Semi-infinite Plate in Problem 11

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Figure 13.F0701: -

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Figure 13.F0702: Cantilever beam in Problem 10

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Figure 13.F0801ab: (a) Find the temperature u in a rectangular plate and (b) Find the vertical displacement u of a rectangular membrane

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Figure 13.F0802: Rectangular parallelepiped in Problems 5-7

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Figure 13.FR01: Initial velocity in Problem 5

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Figure 13.FR02: Square plate in Problem 7

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Figure 13.FR03: Semi-infinite plate in Problem 8

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Figure 13.FR04: Infinite plate in Problem 10

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