The Legendre polynomial Pn( x) is defined as the polynomial solution of the Legendre
Chapter 5, Problem 19(choose chapter or problem)
The Legendre polynomial Pn( x) is defined as the polynomial solution of the Legendre equation with = n that also satisfies the condition Pn(1) = 1. a. Using the results of 18, find the Legendre polynomials P0( x), . . . , P5( x). G b. Plot the graphs of P0( x), . . . , P5( x) for 1 x 1. N c. Find the zeros of P0( x), . . . , P5( x).
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