Let y=y(x) be a solution of the differential (x \cos x) d y+(x y \sin x+y \cos x-1) \dx=0,0 < x < \frac{\pi}{2}. If \frac{\pi}{3} y (\frac{\pi}{3}) =\sqrt{3}, then {| \frac{\pi}{6} y^{' '} (\frac{\pi}{6}) +2 y^{'} (\frac{\pi}{6}) |} is equal to _______. [6-Apr-2023 shift 1]

JEE Mains 6-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

Let y=y(x) be a solution of the differential (x‌cos‌x)dy+(xysin‌x+y‌cos‌x−1)‌dx=0,0<x<‌

. If ‌

y(‌

)=√3, then |‌

y′′(‌

)+2y′(‌

)| is equal to _______.

[6-Apr-2023 shift 1]

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