Q. The order and degree of the differential equation $\left( 1 + 3\ \frac{dy}{dx} \right)^{\frac{2}{3}} = 4\ \frac{d^{3}y}{dx^{3}}$ are
A) $\left( 1,\frac{2}{3} \right)$
B) $(3,1)$
C) $(3,3)$
D) $(1,2)$
Explanation
(c)
Given differential equation can be rewritten as
$\left( 1 + 3\ \frac{dy}{dx} \right)^{2} = 64\left( \frac{d^{3}y}{dx^{3}} \right)^{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.