(a) Derive the polynomial of degree five that satisfies both the Legendre equation (1
Chapter 1, Problem 51(choose chapter or problem)
(a) Derive the polynomial of degree five that satisfies both the Legendre equation (1 x2)y 2xy + 30y = 0 and the normalization condition y(1) = 1. (b) Sketch your solution from (a) and determine approximations to all zeros and local maxima and local minima on the interval (1, 1).
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