Visual Solutions for Higher-Order Differential Equations

1. Chapter 4 Higher-Order Differential Equations

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 f1and f2is 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 4.3.4Graph 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 4.4.2Graph for Problem 46

16. FIGURE 4.4.3 Graph for Problem 47

17. FIGURE 4.4.4Graph for Problem 48

18. FIGURE 4.7.1 Solution curve of IVP in Example 3

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

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

21. FIGURE 4.9.2Path 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)