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The differential equation of all circles passing through the o

Question

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

x^{2} = y^{2} + x y \frac{d y}{d x}

x^{2} = y^{2} + 3 x y \frac{d y}{d x}

y^{2} = x^{2} + 2 x y \frac{d y}{d x}

y^{2} = x^{2} - 2 x y \frac{d y}{d x}

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Question Text	The differential equation of all circles passing through the origin and having their centres on the x-axis is
Answer Type	Video solution: 1
Upvotes	150