Example 4 - Chapter 9 Class 12 Differential Equations

Last updated at Dec. 16, 2024 by

Slide10.JPG

Slide11.JPG

Go Ad-free

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

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