Question: I need help with part (c). *Handwritten solutions only. ii) Consider the following differential equation on (-1, 1) (1 - x2 ) y - 2xy'

I need help with part (c).*Handwritten solutions only. ii) Consider the

I need help with part (c).

*Handwritten solutions only.

ii) Consider the following differential equation on (-1, 1) (1 - x2 ) y" - 2xy' tn(n + 1)y = 0 a) Write this equation in Sturm-Liouville form. b) Denote the solutions to this equation, which are finite at x = 11, as Pn (x) for given n (n = 0, 1, 2, ...). State the orthogonality condition satisfied by the eigenfunctions. c) Given that Po(x) = 1 and Pi(x) = x, find the first two terms in the generalised Fourier series expansion in terms of Pn for 0, -1

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