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Let `y=y(x)` be the solution of the differential equation `(1-x^(2))dy=[xy+(x^(3)+2)sqrt(3(1-x^(2)))]dx, [-1 lt x lt 1,y(0)=0` .If `y((1)/(2))=(m)/(n)` ,"m" and "n" are co-prime numbers,then "m+n" is equal to_________

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