Question: (a) By using the substitution I = e', determine the eigenvalues A of the boundary value problem 2x2day dra + 6r dr dy + xay

(a) By using the substitution I = e', determine the eigenvalues A of the boundary value problem 2x2day dra + 6r dr dy + xay =0 with y = 0 at r = 1 and 1 = ? (b) Show that in the t-plane the boundary value problem is of Sturm-Liouville form and give the weight function w(t). (c) What, in the r-plane, is the corresponding set of orthonormal eigenfunctions on(I)

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