Example 5 - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Variable separation - Equation given
Ex 9.3, 23 (MCQ)
Example 20
Misc 13 (MCQ)
Ex 9.3, 3
Ex 9.3, 8
Example 4
Ex 9.3, 7 Important
Example 5 You are here
Ex 9.3, 6
Ex 9.3, 2
Misc 4
Example 6
Ex 9.3, 5
Ex 9.3, 14
Ex 9.3, 13
Example 7 Important
Ex 9.3, 16
Ex 9.3, 12
Ex 9.3, 11 Important
Ex 9.3, 1 Important
Ex 9.3, 15 Important
Misc 7 Important
Ex 9.3, 4 Important
Ex 9.3, 9 Important
Misc 6
Ex 9.3, 10 Important
Misc 12 Important
Misc 5 Important
Chapter 9 Class 12 Differential Equations
Concept wise
- Order and Degree
- Gen and Particular Solution
- Formation of Differntial equation when general solution given
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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)
