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If y=y(x) is the solution of the differe...

If `y=y(x)` is the solution of the differential equation `((2+sinx)/(y+1))(dy)/(dx)+cosx=0` with `y(0)=1`, then `y((pi)/(2))` is equal to

A

`(1)/(3)`

B

`(2)/(3)`

C

`1`

D

`(4)/(3)`

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The correct Answer is:
A
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