CBSE Class 12 Sample Paper for 2023 Boards
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CBSE Class 12 Sample Paper for 2023 Boards
Last updated at Dec. 13, 2024 by Teachoo
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 π/ππ₯ [(ππ¦/ππ₯)]^4=0, then m + n = (a) 1 (b) 2 (c) 3 (d) 4 We are given the equation π/ππ₯ [(ππ¦/ππ₯)]^4=0 π /π π (π^β² )^π=π This is not solved, letβs solve it (π(π¦^β² )^4)/ππ₯ =0 4(y^β² )^3 Γ π(π¦^β² )/ππ₯ =0 π(π²^β² )^π Γ π^β²β² =π Now, Order = Highest order of derivative m = 2 And, Degree = Power of π¦^β²β² n = 1 Thus, m + n = 2 + 1 = 3 So, the correct answer is (c)
