Q.
Solution of the equation
$\cos ^{2} x \frac{d y}{d x}-(\tan 2 x) y=\cos ^{4} x,|x|<\frac{\pi}{4},$ where $y\left(\frac{\pi}{6}\right)=\frac{3 \sqrt{3}}{8}$, is given by
ManipalManipal 2020
Solution: