Ex 9.3, 8 - Find general solution: x^5 dy/dx = -y^5 - Teachoo - Ex 9.3

part 2 - Ex 9.3, 8 - Ex 9.3 - Serial order wise - Chapter 9 Class 12 Differential Equations

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Ex 9.3, 8 For each of the differential equations in Exercises 1 to 10, find the general solution : š‘„^5 š‘‘š‘¦/š‘‘š‘„=āˆ’š‘¦^5š‘„^5 š‘‘š‘¦/š‘‘š‘„=āˆ’š‘¦^5 š’…š’š/š’š^šŸ“ = (āˆ’š’…š’™)/š’™^šŸ“ Integrating both sides ∫1ā–’š‘‘š‘¦/š‘¦^5 = ∫1ā–’š‘‘š‘„/š‘„^5 š‘¦^(āˆ’5 + 1)/(āˆ’5 + 1) = āˆ’š‘„^(āˆ’5 + 1)/(āˆ’5 + 1)+š¶1 š’š^(āˆ’šŸ’)/(āˆ’šŸ’)= āˆ’š’™^(āˆ’šŸ’)/(āˆ’šŸ’) + C1 ć€–āˆ’š‘¦ć€—^(āˆ’4)/4=" " š‘„^(āˆ’4)/4 " + C1" āˆ’š‘¦^(āˆ’4)=š‘„^(āˆ’4) + 4C1 āˆ’š‘¦^(āˆ’4) = š‘„^(āˆ’4) + C š’™^(āˆ’šŸ’) + š’š^(āˆ’šŸ’)=š‘Ŗ

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