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If cos x (dy)/(dx)-y sin x = 6x, (0 lt x...

If cos `x (dy)/(dx)-y sin x = 6x, (0 lt x lt (pi)/(2))` and `y((pi)/(3))=0`, then `y((pi)/(6))` is equal to :-

A

`(pi^2)/(2sqrt3)`

B

`(-pi^2)/2`

C

`-pi^2/(4sqrt3)`

D

`-pi^2/(2sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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