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
CBSE Class 12 Sample Paper for 2024 Boards
CBSE Class 12 Sample Paper for 2024 Boards
Last updated at Feb. 10, 2025 by Teachoo
This question is similar to Question-2 CBSE-Class 12 Sample Paper for 2022-Boards For Term-2
Transcript
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)