Solve the initial value problem by a power series. Graph the partial sums of the powers up to and including x^{5}. Find the value of the sum s (5 digits) at x_{1}.

(1 - x^{2})y" - 2xy' + 30y = 0, y(0) = 0, y' (0) = 1.875, x_{1} = 0.5

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