CBSE Class 12 Sample Paper for 2023 Boards

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Question 6 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

If m and n, respectively, are the order and the degree of the differential equation d/dx [(dy/dx)] 4 =0, then m + n =

(a) 1  

(b) 2  

(c) 3  

(d) 4

 

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

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Question 6 If m and n, respectively, are the order and the degree of the differential equation 𝑑/𝑑π‘₯ [(𝑑𝑦/𝑑π‘₯)]^4=0, then m + n = (a) 1 (b) 2 (c) 3 (d) 4 We are given the equation 𝑑/𝑑π‘₯ [(𝑑𝑦/𝑑π‘₯)]^4=0 𝒅/𝒅𝒙 (π’š^β€² )^πŸ’=𝟎 This is not solved, let’s solve it (𝑑(𝑦^β€² )^4)/𝑑π‘₯ =0 4(y^β€² )^3 Γ— 𝑑(𝑦^β€² )/𝑑π‘₯ =0 πŸ’(𝐲^β€² )^πŸ‘ Γ— π’š^β€²β€² =𝟎 Now, Order = Highest order of derivative m = 2 And, Degree = Power of 𝑦^β€²β€² n = 1 Thus, m + n = 2 + 1 = 3 So, the correct answer is (c)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo