Let x=x(y) be the solution of the differential equation y= (x-y \frac{d x}{d y}) \sin (\frac{x}{y}) , y>0 \text{ and } x( 1)=\frac{\pi}{2} Then \cos (x( 2)) is equal to: [23 Jan 2025 Shift 2]

Correct Answer is : 2(loge2)2−1

JEE Main 23 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 3 of 75

Marks: +1, -0

Let x=x(y) be the solution of the differential equation
y=(x−y‌

)sin‌(‌

),y>0‌ and ‌x(1)=‌

Then cos(x(2)) is equal to:

[23 Jan 2025 Shift 2]

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