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

Category: QuestionsFind the degree of the differential equation 3(\frac{d^2 y}{dx^2})-(\frac{dy}{dx})^2+sin⁡y=0.
Editor">Editor Staff asked 11 months ago

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
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options
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Editor">Editor Staff answered 11 months ago

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.