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Differential EquationsMediumSeries Solutions

Series Solutions · Medium problem

The Legendre equation (1−x2)y′′−2xy′+6y=0(1 - x^2)y'' - 2xy' + 6y = 0 has a solution with y(0)=1y(0) = 1, y′(0)=0y'(0) = 0 whose power series stops after finitely many terms. Find y(1)y(1) for this solution.