The solution of the differential equatio...

The solution of the differential equation `ysin((x)/(y))dx=(xsin((x)/(y))-y)dy` satisfying `y((pi)/(4))=1` is-

A

`cos""(x)/(y)=-log_(e)y+(1)/(sqrt(2))`

B

`sin""(x)/(y)=log_(e)y+(1)/(sqrt(2))`

C

`sin""(x)/(y)=log_(e)x-(1)/(sqrt(2))`

D

`cos""(x)/(y)=-log_(e)x-(1)/(sqrt(2))`

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