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The differential equation of all circles...

The differential equation of all circles passing through origin and having their centres on the x-axis is ........

A

`(dy)/(dx)=(y^2+x^2)/(2xy)`

B

`(dy)/(dx)=(y^2+x^2)/(2x)`

C

`(d^2y)/(dx^2)=(y^2-x^2)/(2xy)`

D

`(dy)/(dx)=(y^2-x^2)/(2xy)`

Text Solution

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The correct Answer is:
D
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