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The degree of the differential equation [1+(dy/dx)^2 ]^3=((d^2 y)/(dx^2 ))^2 is

(a) 4           (b) 3/2                   (c) 2              (d) Not defined

This question is similar to Question-2 CBSE-Class 12 Sample Paper for 2022-Boards For Term-2


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Given [1+(𝑑𝑦/𝑑𝑥)^2 ]^3=((𝑑^2 𝑦)/(𝑑𝑥^2 ))^2 [1+(𝑦^′ )^2 ]^3=(𝑦^′′ )^2 Since y’’ is the highest order of derivative Degree = Power of y’’ = 2 So, the correct answer is (c)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.