# Ex 9.3, 2 - Chapter 9 Class 12 Differential Equations

Last updated at April 16, 2024 by Teachoo

Ex 9.3

Ex 9.3, 1
Important

Ex 9.3, 2 You are here

Ex 9.3, 3

Ex 9.3, 4 Important

Ex 9.3, 5

Ex 9.3, 6

Ex 9.3, 7 Important

Ex 9.3, 8

Ex 9.3, 9 Important

Ex 9.3, 10 Important

Ex 9.3, 11 Important

Ex 9.3, 12

Ex 9.3, 13

Ex 9.3, 14

Ex 9.3, 15 Important

Ex 9.3, 16

Ex 9.3, 17 Important

Ex 9.3, 18

Ex 9.3, 19 Important

Ex 9.3, 20 Important

Ex 9.3, 21

Ex 9.3, 22 Important

Ex 9.3, 23 (MCQ)

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