Q. The order and degree of the differential equation $\frac{d^{2}y}{dx^{2}} = \sqrt[3]{1 - \left( \frac{dy}{dx} \right)^{4}}$ are respectively

A) $2,3$
B) $3,2$
C) $2,4$
D) $2,2$
Explanation

(a)
Given differential equation is
$\frac{d^{2}y}{dx^{2}} = \sqrt[3]{1 - \left( \frac{dy}{dx} \right)^{4}}$
$\Rightarrow$ $\left( \frac{d^{2}y}{dx^{2}} \right)^{3} = 1 - \left( \frac{dy}{dx} \right)^{4}$
$\therefore$ Order=2, degree=3

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.