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Write the general solution of differential equation dy/dx = e
^{
(x+y)
}

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}

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}

Last updated at Oct. 17, 2019 by Teachoo

^{
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}

Transcript

Question 20 Write the general solution of differential equation ๐๐ฆ/๐๐ฅ = ๐^(๐ฅ+๐ฆ) Given ๐๐ฆ/๐๐ฅ = ๐^(๐ฅ+๐ฆ) ๐๐ฆ/๐๐ฅ = ๐^๐ฅ.๐^๐ฆ ๐๐ฆ/๐^๐ฆ = ๐^๐ฅ ๐๐ฅ e^(โ๐ฆ) ๐๐ฆ = ๐^๐ฅ ๐๐ฅ Integrating both sides โซ1โใe^(โ๐ฆ) ๐๐ฆใ = โซ1โใ๐^๐ฅ ๐๐ฅ" " ใ โ๐^(โ๐ฆ) = ๐^๐ฅ+๐ 0 = ๐^๐ฅ+๐^(โ๐ฆ)+ C Or we can write it as ๐^๐+๐^(โ๐)= C Thus, the general solution is ๐^๐+๐^(โ๐)= C

CBSE Class 12 Sample Paper for 2020 Boards

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Class 12

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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.