Find the degree of the equation \(8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0\).

Category: QuestionsFind the degree of the equation \(8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0\).
Editor">Editor Staff asked 11 months ago

Find the degree of the equation \(8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0\).
 
(a) 4
 
(b) 1
 
(c) 3
 
(d) 2
 
I have been asked this question in an online quiz.
 
My enquiry is from Differential Equations Basics-2 topic in chapter 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

The correct choice is (d) 2
 
The explanation: The given differential equation is polynomial in \(\frac{d^2 y}{dx^2}\). Hence, the degree of the given D.E will be the power raised to the highest order derivative \(\frac{d^2 y}{dx^2}\) which is 2.