If a curve y=y(x) passes through the point (1, \frac{\pi}{2}) and satisfies the differential equation ( 7 x^4 \cot y-e^x cosecy) \frac{d x}{d y}=x^5, x \geq 1, then at x=2, the value of cosy is : [4 Apr 2025 Shift 2]

JEE Main 4 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 7 of 75

Marks: +1, -0

If a curve y=y(x) passes through the point (1,‌

) and satisfies the differential equation ( 7x4‌cot‌y−ex cosecy) ‌

=x5,x≥1, then at x=2, the value of cosy is :

[4 Apr 2025 Shift 2]

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