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  4. Solution of differential equation xdy - ydx = 0 represents :

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Q. Solution of differential equation $xdy - ydx = 0$ represents :

Differential Equations

Solution:

$x dy = ydx$
$\frac{ dy }{ y }=\frac{ dx }{ x } \Rightarrow \ell n y -\ell n x = c$
$y = kx \therefore$ straight line passing through origin