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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1 Answers
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.