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

Transcript

Ex 9.4, 8 For each of the differential equations in Exercises 1 to 10, find the general solution : ๐‘ฅ^5 ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ=โˆ’๐‘ฆ^5 ๐‘ฅ^5 ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ=โˆ’๐‘ฆ^5 ๐‘‘๐‘ฆ/๐‘ฆ^5 = (โˆ’๐‘‘๐‘ฅ)/๐‘ฅ^5 Integrating both sides โˆซ1โ–’๐‘‘๐‘ฆ/๐‘ฆ^5 = โˆซ1โ–’๐‘‘๐‘ฅ/๐‘ฅ^5 ๐‘ฆ^(โˆ’5 + 1)/(โˆ’5 + 1) = โˆ’๐‘ฅ^(โˆ’5 + 1)/(โˆ’5 + 1)+๐ถ1 ๐‘ฆ^(โˆ’4)/(โˆ’4)= โˆ’๐‘ฅ^(โˆ’4)/(โˆ’4) + C1 ใ€–โˆ’๐‘ฆใ€—^(โˆ’4)/4=" " ๐‘ฅ^(โˆ’4)/4 " + C1" โˆ’๐‘ฆ^(โˆ’4)=๐‘ฅ^(โˆ’4) + 4C1 โˆ’๐‘ฆ^(โˆ’4) = ๐‘ฅ^(โˆ’4) + C ๐’™^(โˆ’๐Ÿ’) + ๐’š^(โˆ’๐Ÿ’)=๐‘ช

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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.