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Let y =y (x) satisfies the equation (dy)...

Let y =y (x) satisfies the equation `(dy)/(dx) - |A|=0,` for all` x gt 0,` where ` [{:( y, sin x , 1),( 0, -1 ,1),(2, 0, (1)/(x)):}]`
If ` y (pi) = pi +2,` then the vlaue of `y ((pi)/(2)) `is :

A

`(3pi)/(2) - (1)/(pi)`

B

`(pi)/(2) + (4)/(pi)`

C

`(pi)/(2) - (1)/(pi)`

D

`(pi)/(2) - (4)/(pi)`

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