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The solution of the differential equatio...

The solution of the differential equation `xdx+ydy+(xdy-ydx)/(x^(2)+y^(2))=0`, is

A

`y= x tan (( c + x^2 + y^2)/(2))`

B

` x= y tan (( x + x^2 + y^2)/( 2))`

C

` y= x tan (( c-x ^2 - y^2) /(2))`

D

none of these

Text Solution

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The correct Answer is:
C
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