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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 Dec. 13, 2024 by Teachoo

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

Transcript

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)
  1. Class 12
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Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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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