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Solution of the differential equation `2 y sin x (dy)/(dx) = 2 sin x cos - y^(2) cos x` satisfying `y(pi//2) = 1` is given by

A

`y^(2) = sin x`

B

`y = sin^(2)x`

C

`y^(2) = cos x + 1`

D

`y^(2) sin x = 4 cos^(2) x`

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The correct Answer is:
A
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