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The differential equations of all circle...

The differential equations of all circle touching the x-axis at orgin is
(a) `(y^(2)-x^(2))=2xy((dy)/(dx))`
(b) `(x^(2)-y^(2))(dy)/(dx)=2xy`
( c ) `(x^(2)-y^(2))=2xy((dy)/(dx))`
(d) None of these

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

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

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

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