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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)/(9sqrt(3))pi^(2)`

B

`- (8)/(9sqrt(3))pi^(3)`

C

`- 8/9 pi^(2)`

D

`- 4/9 pi^(2)`

Text Solution

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The correct Answer is:
B
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