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Let y=g(x) be the solution of the diffe...

Let `y=g(x)` be the solution of the differential equation `sin (dy)/(dx)+y cos x=4x, x in (0,pi)` If y(pi/2)=0`, then `y(pi/6)` is equal to

A

`-4/9 pi^2`

B

`4/9sqrt3 pi^2`

C

` -8/9sqrt3 pi^2`

D

`-8/9 pi^2`

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The correct Answer is:
D
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