The differential equation for the family...

The differential equation for the family of circle `x ^(2) + y ^(2) - 2ay =0` where a is an arbitary constant is :

A

`(x ^(2) + y^(3)) y ' = 2 xy`

B

`2 (x ^(2) + y ^(2)) y' = xy`

C

`(x ^(2) - y ^(2)) y' =2xy`

D

`2 (x ^(2) - y ^(2)) y' = xy`

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The correct Answer is:

C

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