If $(2+\sin x) \frac{d y}{d x}+(y+1) \cos x=0$ and $y(0)=1$, then $y\left(\frac{\pi}{2}\right)$ is equal to :-
$\frac{4}{3}$
$\frac{1}{3}$
$-\frac{2}{3}$
$-\frac{1}{3}$
Correct Option: , 2
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