Q. The differential equation of all straight lines passing through origin is
A) $y = \sqrt{x}\ \frac{dy}{dx}$
B) $\frac{dy}{dx} = y + x$
C) $\frac{dy}{dx} = y - x$
D) None of these
Explanation
(d)
The equation of all the straight lines passing through origin is
$y = mx$
$\Rightarrow$ $\frac{dy}{dx} = m$ …(i)
$\therefore$ From Eq. (i), $y = \frac{dy}{dx}\ x$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.