Mathematics - Differential Equation Question with Solution | TestHub

Let$y=y\left(x\right)$be the solution of the differential equation,$\frac{2+\sin x}{y+1}.\frac{dy}{dx}=-\cos x$,$y>0, y\left(0\right)=1$. If$y\left(\mathrm{\pi }\right)=a$and$\frac{dy}{dx}$at$x=\mathrm{\pi }$is$b$, then the ordered pair$\left(a, b\right)$is equal to