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]

JEE Main 30-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 27 of 90

Marks: +1, -0

Let y=y(x) be the solution of the differential equation (1−x2)dy=[xy+(x3+2)√3(1−x2)]‌dx −1<x<1,y(0)=0. If y(‌

)=‌

,m and n are coprime numbers, then m+n is equal to

[30-Jan-2024 Shift 1]

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