Q. The differential equation of the rectangular hyperbola whose 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) $x\ dy + y\ dx = c$
Explanation
(b)
The differential equation of the rectangular hyperbola $xy = c^{2}$ is
$y + x\frac{dy}{dx} = 0\ \Rightarrow x\ \frac{dy}{dx} = - y$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.