Higher-Order Differential Equations

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Presentation transcript:

Higher-Order Differential Equations Chapter 4 Higher-Order Differential Equations

FIGURE 4.1.1 Solution curves of a BVP that pass through two points

FIGURE 4.1.2 Solution curves for BVP in part (a) of Example 3

FIGURE 4.1.3 Set consisting of f1 and f2 is linearly independent on (−∞, ∞)

FIGURE 4.3.1 Solution curve of IVP in Example 2

FIGURE 4.3.2 Graph for Problem 43

FIGURE 4.3.3 Graph for Problem 44

FIGURE 4.3.4 Graph for Problem 45

FIGURE 4.3.5 Graph for Problem 46

FIGURE 4.3.6 Graph for Problem 47

FIGURE 4.3.7 Graph for Problem 48

TABLE 4.4.1 Trial Particular Solutions

FIGURE 4.4.1 Graph for Problem 45

FIGURE 4.4.2 Graph for Problem 46

FIGURE 4.4.3 Graph for Problem 47

FIGURE 4.4.4 Graph for Problem 48

FIGURE 4.7.1 Solution curve of IVP in Example 3

FIGURE 4.8.1 Graph of y(x) in Example 6

FIGURE 4.9.1 Pounds of salt in tanks A and B in Example 3

FIGURE 4.9.2 Path of projectile in Problem 23

FIGURE 4.9.3 Forces in Problem 24

FIGURE 4.10.1 Comparison of two approximate solutions in Example 3

FIGURE 4.10.2 Numerical solution curve for the IVP in (1)