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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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)

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