Chapter 14 Integral Transforms.

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Presentation transcript:

Chapter 14 Integral Transforms

FIGURE 14.1.1 Bell curve

FIGURE 14.1.2 Graphs of erf(x) and erfc(x)

TABLE 14.1.1 Laplace Transforms

FIGURE 14.2.1 “Infinitely long” string falling under its own weight in Example 3

FIGURE 14. 2. 2 Graph of solution given in (10) FIGURE 14.2.2 Graph of solution given in (10). In (b) and (c) x is held constant. In (d) and (e) t is held constant.

FIGURE 14.2.3 Moving elastic beam in Problem 8

FIGURE 14.2.4 Ant responding to chemical signal in Problem 33

FIGURE 14.3.1 Piecewise-continuous function defined on (-∞, ∞) in Example 1

FIGURE 14.3.2 Piecewise-continuous even function defined on (-∞, ∞) in Example 2

FIGURE 14.3.3 Function defined on (0, ∞) in Example 3

FIGURE 14.3.4 (a) is the even extension of f; (b) is the odd extension of f

FIGURE 14.3.5 Convergence of Fb(x) to f(x) in Example 3(b) as b ∞

FIGURE 14.4.1 Plate in Problem 17

FIGURE 14.4.2 Plate in Problem 18

FIGURE 14.4.3 Infinite strip in Problem 21