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Last updated at Dec. 24, 2018 by Teachoo

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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

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Chapter 9 Class 12 Differential Equations

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.