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Higher-Order Differential Equations

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Presentation on theme: "Higher-Order Differential Equations"— Presentation transcript:

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

2

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

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

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

6 FIGURE 4.3.1 Solution curve of IVP in Example 2

7 FIGURE 4.3.2 Graph for Problem 43

8 FIGURE 4.3.3 Graph for Problem 44

9 FIGURE 4.3.4 Graph for Problem 45

10 FIGURE 4.3.5 Graph for Problem 46

11 FIGURE 4.3.6 Graph for Problem 47

12 FIGURE 4.3.7 Graph for Problem 48

13 TABLE 4.4.1 Trial Particular Solutions

14 FIGURE 4.4.1 Graph for Problem 45

15 FIGURE 4.4.2 Graph for Problem 46

16 FIGURE 4.4.3 Graph for Problem 47

17 FIGURE 4.4.4 Graph for Problem 48

18 FIGURE 4.7.1 Solution curve of IVP in Example 3

19 FIGURE 4.8.1 Graph of y(x) in Example 6

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

21 FIGURE 4.9.2 Path of projectile in Problem 23

22 FIGURE 4.9.3 Forces in Problem 24

23 FIGURE 4.10.1 Comparison of two approximate solutions in Example 3

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


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