Series Solutions of Linear Equations Chapter 6 Series Solutions of Linear Equations

FIGURE 6.1.1 Absolute convergence within the interval of convergence and divergence outside of this interval

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

FIGURE 6.2.2 Numerical solution curves for Airy’s DE

FIGURE 6.3.1 Tapered column in Problem 34

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

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

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

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

TABLE 6.4.1 Zeros of J0, J1, Y1, and Y1

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

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

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

FIGURE 6.4.7 Beam in Problem 43

FIGURE 6.4.8 Pendulum of varying length in Problem 45

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

FIGURE 6.R.2 Annular cooling fin