Q. The order and degree of the differential equation $5\left( \frac{d^{2}y}{dx^{2}} \right)^{5} + 4\left( \frac{d^{3}y}{dx^{3}} \right)^{2} + \left( \frac{dy}{dx} \right)^{3} + 2y + x^{3} = 0$ are respectively

A) $(2,5)$
B) $(3,2)$
C) $(1,3)$
D) $(2,3)$
Explanation

(b)
Given differential equation is
$5\left( \frac{d^{2}y}{dx^{2}} \right)^{5} + 4\left( \frac{d^{3}y}{dx^{3}} \right)^{2} + \left( \frac{dy}{dx} \right)^{3} + 2y + x^{3} = 0$
Here, highest order derivative is 3 whose degree is 2.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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