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Legendre's differential equation

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Legendre's differential equation, i.e. , (1-x^2)y''(x) - 2xy'(x) + n(n+1)y(x)=0. Find all solutions to Legendre's differential equation assuming solutions of the form y(x) = P r (x).

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Solution Summary

The solution provides an example of finding solutions to a given Legendre's differential equation.