Mathematics · 2025
JEE Main · 4 April 2025, Shift 2 · Q20
If a curve y=y(x) passes through the point (1, (π)/2) and satisfies the differential equation (7 x^4 cot y- e^x cosec y) (d x)/(d y)=x^5, x ≥ 1, then…
If a curve $\displaystyle y=y(x)$ passes through the point $\displaystyle \left(1, \frac{\pi}{2}\right)$ and satisfies the differential equation $\displaystyle \left(7 x^4 \cot y-\mathrm{e}^x \operatorname{cosec} y\right) \frac{\mathrm{d} x}{\mathrm{~d} y}=x^5, x \geq 1$, then at $\displaystyle x=2$, the value of cosy is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{2 \mathrm{e}^2-\mathrm{e}}{128}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.