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Let y = y (x) be the solution of the dif...

Let y = y (x) be the solution of the differential equation `xdy = (y + x^3 cos x)dx `with `y( pi ) = 0,` then `y ((pi)/(2))` is equal to

A

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

B

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

C

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

D

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

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