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If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))...

If `y=y(x)` and `(2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1,` then `y(pi/2)` equals

A

`1//3`

B

`2//3`

C

`-1//3`

D

1

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To solve the differential equation given by \[ \frac{2 + \sin x}{y + 1} \frac{dy}{dx} = -\cos x \] with the initial condition \( y(0) = 1 \), we will follow these steps: ...
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