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 𝑦𝑑𝑥 − 𝑥𝑑𝑦 = 0 𝑖𝑠

(a) 𝑥𝑦 = 𝐶

(b) 𝑥 = Cy ²

(c) 𝑦 = 𝐶𝑥

(d) 𝑦 = Cx ²

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

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Transcript

Question 15 The general solution of the differential equation 𝑦𝑑𝑥 − 𝑥𝑑𝑦 = 0 𝑖𝑠 (a) 𝑥𝑦 = 𝐶 (b) 𝑥 = 〖𝐶𝑦〗^2 (c) 𝑦 = 𝐶𝑥 (d) 𝑦 = C𝑥^2𝑦 𝑑𝑥 − 𝑥 𝑑𝑦=0 𝑦 𝑑𝑥= 𝑥 𝑑𝑦 𝒅𝒙/𝒙 = 𝒅𝒚/𝒚 Integrating both sides. ∫1▒〖(𝑑𝑥 )/𝑥=(𝑑𝑦 )/(𝑦 )〗 log x = log y + C log x − log y = C log ((𝒙 )/𝒚) = C (𝒙 )/𝒚 = c1 y = 𝑥/𝑐_1 y = Cx So, the correct answer is (c)

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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

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