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The differential equation for the family...

The differential equation for the family of curves `x^2+y^2-2ay=0`, where a is an arbitrary constant , is :

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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