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The function y = f (x) is the solution of the differential equation dy/dx + xy/(x^2 - 1) = (x^4 + 2x)/√(1 - x^2)

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The function y = f (x) is the solution of the differential equation dy/dx + xy/(x2 - 1) = (x4 + 2x)/√(1 - x2) in (-1, 1) satisfying f (0) = 0. Then,

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Answer is (B)

Differential equation is

It is a linear differential equation. Therefore,

Since even function, now solving

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