JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 6 April 2023, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

Let

y=y(x)

be a solution of the differential equation

(x\cos x)\,dy+(xy\sin x+y\cos x-1)\,dx=0,\ 0<x<\frac{\pi}{2}

. If

\frac{\pi}{3}y\left(\frac{\pi}{3}\right)=\sqrt3

, then

\left|\frac{\pi}{6}y''\left(\frac{\pi}{6}\right)+2y'\left(\frac{\pi}{6}\right)\right|

is equal to ____________

Official answer

NTA final key.

Same idea in other shifts