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CBSE Class 12 Sample Paper for 2023 Boards

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Practice Questions CBSE - Maths Class 12 (2023 Boards) →
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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 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, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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