Mathematics · 2023
JEE Main · 1 February 2023, Shift 1 · Q74
If y=y(x) is the solution curve of the differential equation (d y)/(d x)+y tan x=x sec x, 0 ≤ x ≤ (π)/3, y(0)=1, then y((π)/6) is equal to
If $\displaystyle y=y(x)$ is the solution curve of the differential equation $\displaystyle \frac{d y}{d x}+y \tan x=x \sec x, 0 \leq x \leq \frac{\pi}{3}, y(0)=1$,
then $\displaystyle y\left(\frac{\pi}{6}\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{\pi}{12}-\frac{\sqrt{3}}{2} \log _e\left(\frac{2}{e \sqrt{3}}\right)$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.