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JEE MAIN 2026
21-01-2026 S2
Question
Let $y=y(x)$ be the solution of the differential equation $\sec x \frac{\mathrm{~d} y}{\mathrm{~d} x}-2 y=2+3 \sin x, x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right), y(0)=-\frac{7}{4}$. Then $y\left(\frac{\pi}{6}\right)$ is equal to:
Select the correct option:
A
$-\frac{5}{2}$
B
$-\frac{5}{4}$
C
$-3 \sqrt{3}-7$
D
$-3 \sqrt{2}-7$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Mathematics
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