Check sibling questions

Ex 9.4, 6 - Find general solution: dy/dx = (1 + x2) (1 + y2) - Variable separation - Equation given

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

Ex 9.4, 6 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑑𝑦/𝑑π‘₯=(1+π‘₯^2 )(1+𝑦^2 ) 𝑑𝑦/𝑑π‘₯=(1+π‘₯^2 )(1+𝑦^2 ) dy = (1+π‘₯^2 )(1+𝑦^2 ) dx 𝑑𝑦/(1 + 𝑦^2 )= (1 + π‘₯^2) dx Integrating both sides. ∫1▒𝑑𝑦/(1 + 𝑦^2 ) = ∫1β–’(1+π‘₯2)𝑑π‘₯ tanβˆ’1 y = x + 𝒙^πŸ‘/πŸ‘ + 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.