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Let `y=y(x)` be the solution of the differential equation `(dy)/(dx)=((tan x)+y)/(sin x(sec x-sin x tan x)),x in(0,(pi)/(2))` satisfying the condition `y((pi)/(4))=2` Then,`y((pi)/(3))` is

A

`sqrt(3)(1+2log_(e)3)`

B

`sqrt(3)(2+log_(e)sqrt(3))`

C

`sqrt(3)(2+log_(e)3)`

D

`(sqrt(3))/(2)(2+log_(e)3)`

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