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JEE MAIN 2024
31-01-2024 S1
Question
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=\frac{(\tan x)+y}{\sin x(\sec x-\sin x \tan x)}, \mathrm{x} \in\left(0, \frac{\pi}{2}\right)$ satisfying the condition $\mathrm{y}\left(\frac{\pi}{4}\right)=2$. Then, $\mathrm{y}\left(\frac{\pi}{3}\right)$ is
Select the correct option:
A
$\sqrt{3}\left(2+\log _e \sqrt{3}\right)$
B
$\frac{\sqrt{3}}{2}\left(2+\log _e 3\right)$
C
$\sqrt{3}\left(1+2 \log _e\right.$
D
$\sqrt{3}\left(2+\log _e 3\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Hard
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