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Mathematics · 2019

JEE Main · 9 April 2019, Shift 2 · Q77

If cos x (d y)/(d x)-y sin x=6 x,(0<x<(π)/2) and y((π)/3)=0, then y((π)/6) is equal to:

If $\displaystyle \cos x \frac{\mathrm{~d} y}{\mathrm{~d} x}-y \sin x=6 x,\left(0<x<\frac{\pi}{2}\right)$ and $\displaystyle y\left(\frac{\pi}{3}\right)=0$, then $\displaystyle y\left(\frac{\pi}{6}\right)$ is equal to :
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