Examples 10.jpg

  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise

Transcript

Example 10 Find the general solution of the differential equation 𝑑𝑦/𝑑π‘₯=(1 + 𝑦^2)/(1 + π‘₯^2 ) 𝑑𝑦/𝑑π‘₯=(1 + 𝑦^2)/(1 + π‘₯^2 ) 𝑑𝑦/(1 + 𝑦2)=𝑑π‘₯/(1 + π‘₯^2 ) Integrating both sides ∫1▒𝑑𝑦/(1 + 𝑦^2 ) = ∫1▒𝑑𝑦/(1 + π‘₯^2 ) (∫1β–’1/(1 + π‘₯^2 ) dx = tanβˆ’1 x + c) tanβˆ’1 y = tanβˆ’1 x + c tanβˆ’1 y = tanβˆ’1 x + c is the general solution of the given equation

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.