Misc 4 - Chapter 9 Class 12 Differential Equations

Last updated at April 16, 2024 by Teachoo

Next: Example 6 → Go Ad-free

Transcript

Misc 4 Find the general solution of the differential equation 𝑑𝑦/𝑑𝑥+√((1−𝑦^2)/(1−𝑥^2 ))=0𝑑𝑦/𝑑𝑥+√((1 − 𝑦^2)/(1 − 𝑥^2 )) = 0 𝑑𝑦/𝑑𝑥 = − √((1 + 𝑦^2)/(1 + 𝑥^2 )) 𝒅𝒚/√(𝟏 − 𝒚^𝟐 )=𝒅𝒙/√(𝟏 − 𝒙^𝟐 ) Integrating both sides ∫1▒𝑑𝑦/√(1 − 𝑦^2 ) = ∫1▒𝑑𝑥/√(1 − 𝑥^2 ) sin−1 y = − sin−1 x + C sin−1x + sin−1 y = C

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

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular