For purposes of this problem ignore the list of Legendre polynomials given on page 266 and the

Question:

For purposes of this problem ignore the list of Legendre polynomials given on page 266 and the graphs given in Figure 6.4.3. Use Rodrigues’ formula (33) to generate the Legendre polynomials P₁(x), P₂(x), . . . , P₇(x). Use a CAS to carry out the differentiations and simplifications.

Figure 6.4.3.

y 2.5 2 1.5 1 0.5 3