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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise

Transcript

Ex 9.4, 23 The general solution of the differential equation ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ=๐‘’^(๐‘ฅ+๐‘ฆ) is (A) ๐‘’^๐‘ฅ+๐‘’^(โˆ’๐‘ฆ)=๐ถ (B) ๐‘’^๐‘ฅ+๐‘’^๐‘ฆ=๐ถ (C) ๐‘’^(โˆ’๐‘ฅ)+๐‘’^๐‘ฆ=๐ถ (D) ๐‘’^(โˆ’๐‘ฅ)+๐‘’^(โˆ’๐‘ฆ)=๐ถ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘’^(๐‘ฅ + ๐‘ฆ) ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘’^(๐‘ฅ ) ๐‘’^( ๐‘ฆ) ๐‘‘๐‘ฆ/๐‘’^๐‘ฆ = ๐‘’^(๐‘ฅ ) ๐‘‘๐‘ฅ Integrating both sides โˆซ1โ–’๐‘’^(โˆ’๐‘ฆ) ๐‘‘๐‘ฆ= โˆซ1โ–’๐‘’^๐‘ฅ ๐‘‘๐‘ฅ ใ€–โˆ’๐‘’ใ€—^(โˆ’๐‘ฆ) = ๐‘’^๐‘ฅ+๐‘ ๐‘’^๐‘ฅ + ๐‘’^(โˆ’๐‘ฆ) = C โˆด Option (A) is correct.

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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.