Question

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

• A. $y \frac{dy}{dx} = x$
• B. $x \frac{dy}{dx} = - y$
• C. $x \frac{dy}{dx} = y$
• D. $xdy + ydx = c$

Answer 1

Answer: (B)

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

Answer 2

The differential equation of the rectangular hyperbola $xy = c^2$ is
$y + x \frac{dy}{dx} = 0$
$\Rightarrow x \frac{dy}{dx} = - y$