Ex 9.3, 6 - Chapter 9 Class 12 Differential Equations
Last updated at Dec. 16, 2024 by Teachoo
Variable separation - Equation given
Ex 9.3, 23 (MCQ)
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Chapter 9 Class 12 Differential Equations
Concept wise
- Order and Degree
- Gen and Particular Solution
- Formation of Differntial equation when general solution given
-
Variable separation - Equation given
- Variable separation - Statement given
- Solving homogeneous differential equation
- Solving Linear differential equations - Equation given
- Solving Linear differential equations - Statement given
Transcript
Ex 9.3, 6 For each of the differential equations in Exercises 1 to 10, find the general solution : ππ¦/ππ₯=(1+π₯^2 )(1+π¦^2 )ππ¦/ππ₯=(1+π₯^2 )(1+π¦^2 ) dy = (1+π₯^2 )(1+π¦^2 ) dx π π/(π + π^π )= (1 + π^π) dx Integrating both sides. β«1βππ¦/(1 + π¦^2 ) = β«1β(1+π₯2)ππ₯ tanβ1 y = x + π^π/π + C (β«1β1/(1+π¦^2 ) dy = tanβ1 y)
