1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
  3. Ex 9.4

Ex 9.4, 6 - Chapter 9 Class 12 Differential Equations

Last updated at May 29, 2018 by

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

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

    3. Ex 9.4

    Ex 9.5 →

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

Chapter 9 Class 12 Differential Equations
Serial order wise

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