Example 4 - Chapter 9 Class 12 Differential Equations

Last updated at April 16, 2024 by

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Example 4 Find the general solution of the differential equation 𝑑𝑦/𝑑𝑥=(𝑥+1)/(2−𝑦) , (𝑦≠2)Given 𝑑𝑦/𝑑𝑥=(𝑥 + 1)/(2 − 𝑦) (2 − y) dy = (x + 1) dx Integrating both sides. ∫1▒〖(𝟐−𝒚)𝒅𝒚=〗 ∫1▒(𝒙+𝟏)𝒅𝒙 2y − 𝑦^2/2 = 𝑥^2/2 + x + c 〖4𝑦 − 𝑦〗^2/2 = (𝑥^2+ 2𝑥 + 2𝑐)/2 4y − y2 = x2 + 2x + 2c 4y − y2 = x2 + 2x + r x2 + y2 + 2x − 4y + r = 0 is general solution

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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