Misc 4 - Chapter 9 Class 12 Differential Equations

Last updated at August 5, 2026 by

Misc 4 - Find general solution: dy/dx + root 1 - y2 / 1-x2 = 0 - Miscellaneous

part 2 - Misc 4 - Miscellaneous - Serial order wise - Chapter 9 Class 12 Differential Equations

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Misc 4 Find the general solution of the differential equation 𝑑𝑦/𝑑π‘₯+√((1βˆ’π‘¦^2)/(1βˆ’π‘₯^2 ))=0𝑑𝑦/𝑑π‘₯+√((1 βˆ’ 𝑦^2)/(1 βˆ’ π‘₯^2 )) = 0 𝑑𝑦/𝑑π‘₯ = βˆ’ √((1 + 𝑦^2)/(1 + π‘₯^2 )) π’…π’š/√(𝟏 βˆ’ π’š^𝟐 )=𝒅𝒙/√(𝟏 βˆ’ 𝒙^𝟐 ) Integrating both sides ∫1▒𝑑𝑦/√(1 βˆ’ 𝑦^2 ) = ∫1▒𝑑π‘₯/√(1 βˆ’ π‘₯^2 ) sinβˆ’1 y = βˆ’ sinβˆ’1 x + C sinβˆ’1x + sinβˆ’1 y = C

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