Let y=y(x) be the solution of the differential equation (1-x^2) d y= [x y+ (x^3+2) \sqrt{3 (1-x^2) }] \dx -1< x< 1, y(0)=0. If y (\frac{1}{2}) = { {\m}}/{ {\n}}, {\m} and {\n} are coprime numbers, then {\m}+ {\n} is equal to [30-Jan-2024 Shift 1]

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