Let \( y=y(x) \) be the solution of the differential equation, \( \...

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Let \( y=y(x) \) be the solution of the differential equation,
\( \mathrm{P} \) \( \frac{2+\sin x}{y+1} \cdot \frac{d y}{d x}=-\cos x, y0, y(0)=1 \). If \( y(\pi)=a \) and

W. \( \frac{d y}{d x} \) at \( x=\pi \) is \( b \), then the ordered pair \( (a, b) \) is equal to:
(a) \( (2,1) \)
[JEE Main-2020 (September)]
(b) \( (1,-1) \)
(c) \( \left(2, \frac{3}{2}\right) \)
(d) \( (1,1) \)
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