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

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

A

`-(pi^2)/(4 sqrt(3))`

B

`-(pi^2)/(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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