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JEE-MAIN 2020
05-09-2020 S2
Question
Let $y=y(x)$ be the solution of the differential equation $\cos x \frac{d y}{d x}+2 y \sin x=\sin 2 x, x \in\left(0, \frac{\pi}{2}\right)$. If $y(\pi / 3)=0$, then $y(\pi / 4)$ is equal to
Select the correct option:
A
$\frac{1}{\sqrt{2}}-1$
B
$\sqrt{2}-2$
C
$2-\sqrt{2}$
D
$2+\sqrt{2}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Mathematics
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