SturmLiouville 10 Consider the differential equation (4x² − 1) y" + 4xy' + λ y = 0 - (a) For what values of A, we will expect at least one polynomial solution? (b) Write the orthogonality condition of the eigenfunctions yn (x) with the proper integration interval. (c) Write the Rodrigue's formula for the polynomials yn (x). (d) Derive a general expression for yn(x).

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