Mathematics | VITEEE 2014 | Discussion Page

The differential equation of the rectangular hyperbola, where axes are the asymptotes of the hyperbola, is

$y \frac{dy}{dx}=x$

$x \frac{dy}{dx}=-y$

$x \frac{dy}{dx}=y$

$x dy+ydx=c$

Option B

The differential equation of the rectangular hyperbola $xy=c^{2}$ is

$y+x \frac{dy}{dx}=0$

$\Rightarrow$ $x \frac{dy}{dx}=-y$

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