Check sibling questions


Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Example 5 Find the general solution of the differential equation 𝑑𝑦/𝑑π‘₯=(1 + 𝑦^2)/(1 + π‘₯^2 ) 𝑑𝑦/𝑑π‘₯=(1 + 𝑦^2)/(1 + π‘₯^2 ) π’…π’š/(𝟏 + π’šπŸ)=𝒅𝒙/(𝟏 + 𝒙^𝟐 ) Integrating both sides ∫1▒𝑑𝑦/(1 + 𝑦^2 ) = ∫1▒𝑑𝑦/(1 + π‘₯^2 ) tanβˆ’1 y = tanβˆ’1 x + c tanβˆ’1 y = tanβˆ’1 x + c is the general solution of the given equation (∫1β–’1/(1 + π‘₯^2 ) dx = tanβˆ’1 x + c)

Ask a doubt
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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.