(2) Find the eigenfunctions and eigenvalues of the Sturm Liouvile problem y" + 4y + 2(1 + X)y = 0 y(0) = 0 y(1) = 0. Wri

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2 Find The Eigenfunctions And Eigenvalues Of The Sturm Liouvile Problem Y 4y 2 1 X Y 0 Y 0 0 Y 1 0 Wri 1 (20.68 KiB) Viewed 45 times

(2) Find the eigenfunctions and eigenvalues of the Sturm Liouvile problem y" + 4y + 2(1 + X)y = 0 y(0) = 0 y(1) = 0. Write this problem in the form (ry') + (q + p)y = 0 Use this to write the eigenfunction expression of f(x) = 1 in the eigenfunctions of this problem (3) Find the Fourier Legendre expression of the polynomial –3r+42+1 (Express 1, , in terms of the Legendre polynomials) (4) Use the recurrence relation (n + 1)Pn+1(x) - (2n +1)xpn(x) + npn-1(x) = 0 (5) Evaluate (User = V and 1(x) = F(x + 1)) to find Pa, P3