Solution of the differential equation $x d y - y d x = 0$ represents a

Parabola

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Circle

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Hyperbola

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Straight line

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Solution

The correct option is D Straight line
$x . d y - y . d x = 0$
$\Rightarrow x d y = y d x$
$\frac{d y}{y} = \frac{d x}{x}$
$\Rightarrow l o g y = l o g x + l o g c$
$\Rightarrow l o g y = l o g c x \Rightarrow y = x c$

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