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Question 15 - 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

The general solution of the differential equation 𝑦𝑑π‘₯ − π‘₯𝑑𝑦 = 0 𝑖𝑠

(a) π‘₯𝑦 = 𝐢  

(b) π‘₯ = Cy 2  

(c) 𝑦 = 𝐢π‘₯  

(d) 𝑦 = Cx 2

 

This question is Similar to Misc-16 - Class-12 Miscellaneous

Transcript

Question 15 The general solution of the differential equation 𝑦𝑑π‘₯ βˆ’ π‘₯𝑑𝑦 = 0 𝑖𝑠 (a) π‘₯𝑦 = 𝐢 (b) π‘₯ = 〖𝐢𝑦〗^2 (c) 𝑦 = 𝐢π‘₯ (d) 𝑦 = Cπ‘₯^2𝑦 𝑑π‘₯ βˆ’ π‘₯ 𝑑𝑦=0 𝑦 𝑑π‘₯= π‘₯ 𝑑𝑦 𝒅𝒙/𝒙 = π’…π’š/π’š Integrating both sides. ∫1β–’γ€–(𝑑π‘₯ )/π‘₯=(𝑑𝑦 )/(𝑦 )γ€— log x = log y + C log x βˆ’ log y = C log ((𝒙 )/π’š) = C (𝒙 )/π’š = c1 y = π‘₯/𝑐_1 y = Cx So, the correct answer is (c)
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2023 Boards

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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