Example 9 - Chapter 9 Class 12 Differential Equations
Last updated at Dec. 24, 2018 by Teachoo
Transcript
Example 9 Find the general solution of the differential equation ๐๐ฆ/๐๐ฅ=(๐ฅ+1)/(2โ๐ฆ) , (๐ฆโ 2) ๐๐ฆ/๐๐ฅ=(๐ฅ + 1)/(2 โ ๐ฆ) , (๐ฆโ 2) (2 โ y) dy = (x + 1) dx Integrating both sides. โซ1โใ(2โ๐ฆ)๐๐ฆ=ใ โซ1โ(๐ฅ+1)๐๐ฅ 2y โ ๐ฆ^2/2 = ๐ฅ^2/2 + x + c ใ4๐ฆ โ ๐ฆใ^2/2 = (๐ฅ^2+ 2๐ฅ + 2๐)/2 4y โ y2 = x2 + 2x + 2c 4y โ y2 = x2 + 2x + r x2 + y2 + 2x โ 4y + r = 0 is general solution
Examples
Example 1
Important
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7 Important
Example 8
Example 9 You are here
Example 10
Example 11
Example 12
Example 13 Important
Example 14
Example 15
Example 16
Example 17 Important
Example 18 Important
Example 19
Example 20
Example 21
Example 22 Important
Example 23
Example 24
Example 25 Important
Example 26
Example 27 Important
Example 28 Important
Chapter 9 Class 12 Differential Equations
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.