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

Slide10.JPG

Slide11.JPG

Something went wrong!

The video couldn't load due to a technical hiccup.
But don't worry — our team is already on it, and we're working hard to get it back up ASAP.

Thanks for bearing with us!

Share on WhatsApp

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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