The eigenvalue problem (x^{2} y^{prime prime}-lambda x y^{prime}+lambda y=0) with (y(1)=y(2)=0) is not a Sturm-Liouville eigenvalue problem.

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The eigenvalue problem \(x^{2} y^{\prime \prime}-\lambda x y^{\prime}+\lambda y=0\) with \(y(1)=y(2)=0\) is not a Sturm-Liouville eigenvalue problem. Show that none of the eigenvalues are real by solving this eigenvalue problem.

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