Q. The degree and order of the differential equation whose solution is a parabola whose axis is $x$-axis, are
A) $1,1$
B) $1,2$
C) $1,0$
D) $2,1$
Explanation
(b)
The general equation of parabola whose axis is $x$-axis,is
$y^{2} = 4a(x - h)$
$\Rightarrow$ $2y\ \frac{dy}{dx} = 4a$
$\Rightarrow$ $y\ \frac{dy}{dx} = 2a$
$\Rightarrow$ $\left( \frac{dy}{dx} \right)^{2} + y\ \frac{d^{2}y}{dx^{2}} = 0$
$\therefore$ Degree=1, order=2
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.