Example 5 - 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
Example 5 Find the general solution of the differential equation ππ¦/ππ₯=(1 + π¦^2)/(1 + π₯^2 ) ππ¦/ππ₯=(1 + π¦^2)/(1 + π₯^2 ) π π/(π + ππ)=π π/(π + π^π ) Integrating both sides β«1βππ¦/(1 + π¦^2 ) = β«1βππ¦/(1 + π₯^2 ) tanβ1 y = tanβ1 x + c tanβ1 y = tanβ1 x + c is the general solution of the given equation (β«1β1/(1 + π₯^2 ) dx = tanβ1 x + c)
