1. Series Solutions of Linear Equations
Chapter 6
Series Solutions of Linear Equations

3. FIGURE Absolute convergence within the interval of convergence and divergence outside of this interval

4. FIGURE 6.2.1 Distance from singular points to the ordinary point 0 in Example 4

5. FIGURE 6.2.2 Numerical solution curves for Airy’s DE

6. FIGURE 6.3.1 Tapered column in Problem 34

7. FIGURE 6.4.1 Bessel functions of the first kind for n = 0, 1, 2, 3, 4

8. FIGURE 6.4.2 Bessel functions of the second kind for n = 0, 1, 2, 3, 4

9. FIGURE 6.4.3 Modified Bessel functions of the first kind for n = 0, 1, 2

10. FIGURE 6.4.4 Modified Bessel functions of the second kind for n = 0, 1, 2

11. TABLE Zeros of J0, J1, Y1, and Y1

12. TABLE 6.4.2 Numerical Values of J0, J1, Y0, and Y1

13. FIGURE 6.4.5 Bessel functions of order 1 2 (blue) and order − 1 2 (red)

14. FIGURE 6.4.6 Legendre polynomials for n = 0, 1, 2, 3, 4, 5

15. FIGURE Beam in Problem 43

16. FIGURE 6.4.8 Pendulum of varying length in Problem 45

17. FIGURE 6.R.1 Cooling fins on a motorcycle engine

18. FIGURE 6.R.2 Annular cooling fin