Example 4 - Chapter 9 Class 12 Differential Equations
Last updated at Dec. 16, 2024 by Teachoo
Examples
Example 1 (i)
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Chapter 9 Class 12 Differential Equations
Serial order wise
Transcript
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
