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If `y(x)` satisfies the differential equation cosx `(dy)/(dx)-y` sinx `=6x`. And `y((pi)/(3))=0`. Then value of `y((pi)/(6))` is (A) `(pi^(2))/(2sqrt(3))` (B) `-(pi^(2))/2` (C) `-(pi^(2))/(2sqrt(3))` (D) `-(pi^(2))/(4sqrt(3))`

A

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

B

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

C

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

D

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

Text Solution

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