The differential equation of all circles which pass through the origin and whose centres lie on y-axis is

1
\(\left(x^2-y^2\right) \frac{d y}{d x}-2 x y=0\)
2
\(\left(x^2-y^2\right) \frac{d y}{d x}+2 x y=0\)
3
\(\left(x^2-y^2\right) \frac{d y}{d x}-x y=0\)
4
\(\left(x^2-y^2\right) \frac{d y}{d x}+x y=0\)

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