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1. Consider the following equation: xy (1-x)yny = 0, defined on 0 < x < . Multiply the equation by a function h(x) and

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1. Consider the following equation: xy" (1-x)yny = 0, defined on 0 < x < . Multiply the equation by a function h(x) and find the function that results in an equation in the Sturm-Liouville form. Write the orthogonality relation.

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