Ex 9.4, 6 - Chapter 9 Class 12 Differential Equations

Last updated at May 29, 2018 by Teachoo

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

Transcript

Ex 9.4, 6 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑑𝑦/𝑑𝑥=(1+𝑥^2 )(1+𝑦^2 ) 𝑑𝑦/𝑑𝑥=(1+𝑥^2 )(1+𝑦^2 ) dy = (1+𝑥^2 )(1+𝑦^2 ) dx 𝑑𝑦/(1 + 𝑦^2 )= (1 + 𝑥^2) dx Integrating both sides. ∫1▒𝑑𝑦/(1 + 𝑦^2 ) = ∫1▒(1+𝑥2)𝑑𝑥 tan−1 y = x + 𝒙^𝟑/𝟑 + C

Ex 9.4

Ex 9.4, 6 You are here

Ex 9.5 →

Chapter 9 Class 12 Differential Equations

Serial order wise

Ex 9.1
Ex 9.2
Ex 9.3
Ex 9.4
Ex 9.5
Ex 9.6
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