Ex 9.3, 2 - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Variable separation - Equation given
Example 20
Misc 13 (MCQ)
Ex 9.3, 3
Ex 9.3, 8
Example 4
Ex 9.3, 7 Important
Example 5
Ex 9.3, 6
Ex 9.3, 2 You are here
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
Variable separation - Equation given
Last updated at April 16, 2024 by Teachoo
Ex 9.3, 2 For each of the differential equations in Exercises 1 to 10, find the general solution : ๐๐ฆ/๐๐ฅ=โ(4โ๐ฆ^2 ) (โ2<๐ฆ<2) ๐๐ฆ/๐๐ฅ = โ(4โ๐ฆ2) ๐๐ฆ/โ(4 โ ๐ฆ^2 ) = dx. ๐ ๐/โ(๐^๐ โ ๐^๐ ) = dx Integrating both sides โซ1โใ๐๐ฆ/โ(2^2 โ ๐ฆ^2 )=โซ1โ๐๐ฅใ We know that โซ1โใ๐๐ฅ/โ(๐^2โ๐ฅ^2 )=sin^(โ1)โกใ๐ฅ/๐ใ ใ Putting ๐ = 2, x = y ใ๐๐๐ใ^(โ๐)โกใ๐/๐ใ = x + c ๐ฆ/2 = sin(x + c) y = 2 sin(x + c) โด y = 2 sin (x + c) is the general solution