Question

Find the degree of the differential equation \(3(\frac{d^2 y}{dx^2})-(\frac{dy}{dx})^2\)+sin⁡y=0.

(a) 1

(b) 3

(c) 2

(d) Not defined

This question was posed to me in semester exam.

My question is from Differential Equations Basics-2 topic in division Differential Equations of Mathematics – Class 12

Answer 1

Correct choice is (a) 1

The explanation is: In the polynomial differential equation \(3(\frac{d^2 y}{dx^2})-(\frac{dy}{dx})^2\)+sin⁡y=0, the power raised to the highest derivative \(\frac{d^2 y}{dx^2}\) is 1. Therefore, the degree of the differential equation is 1.