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Find all eigenvalues and corresponding eigenfunctions for the following boundary value problem (x^2)y'' + λy =...

Find all eigenvalues and corresponding eigenfunctions for the following boundary value problem (x^2)y'' + λy = 0, (1 < x < 2), y(1) = 0 = y(2) and in particular the three cases μ < 1/2, μ = 1/2, and μ > 1/2 associated with the sign and vanishing of the discriminant of the characteristic equation

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