The solution of the differential equatio...

The solution of the differential equation `x^3(dy)/(dx)=y^3+y^2sqrt(y^2-x^2)` is :

A

`y + sqrt( y^2 - x^2 ) = cxy`

B

`y- sqrt(y^2- x^2) = cxy`

C

`y sqrt(y^2 - x^2 ) = cx + y`

D

` x sqrt(y^2 - x^2 ) = cx +y`

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The correct Answer is:

A

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