Solve this following

Question:

If $\cos x \frac{d y}{d x}-y \sin x=6 x,\left(0

$\mathrm{y}\left(\frac{\pi}{3}\right)=0$, then $\mathrm{y}\left(\frac{\pi}{6}\right)$ is equal to :-

  1. $-\frac{\pi^{2}}{4 \sqrt{3}}$

  2. $-\frac{\pi^{2}}{2}$

  3. $-\frac{\pi^{2}}{2 \sqrt{3}}$

  4. $\frac{\pi^{2}}{2 \sqrt{3}}$


Correct Option: , 3

Solution:

 

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