Ex 9.3, 23 (MCQ) - Chapter 9 Class 12 Differential Equations

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General solution of dy/dx = e^x+y is (a) e^x + e^-y = C [MCQ Class 12] - Ex 9.3

part 2 - Ex 9.3, 23 (MCQ) - Ex 9.3 - Serial order wise - Chapter 9 Class 12 Differential Equations

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Ex 9.3, 23 The general solution of the differential equation š‘‘š‘¦/š‘‘š‘„=š‘’^(š‘„+š‘¦) is (A) š‘’^š‘„+š‘’^(āˆ’š‘¦)=š¶ (B) š‘’^š‘„+š‘’^š‘¦=š¶ (C) š‘’^(āˆ’š‘„)+š‘’^š‘¦=š¶ (D) š‘’^(āˆ’š‘„)+š‘’^(āˆ’š‘¦)=š¶ š‘‘š‘¦/š‘‘š‘„ = š‘’^(š‘„ + š‘¦) š‘‘š‘¦/š‘‘š‘„ = š‘’^(š‘„ ) š‘’^( š‘¦) š’…š’š/š’†^š’š = š’†^(š’™ ) š’…š’™ Integrating both sides āˆ«1ā–’š‘’^(āˆ’š‘¦) š‘‘š‘¦= āˆ«1ā–’š‘’^š‘„ š‘‘š‘„ 怖āˆ’š’†ć€—^(āˆ’š’š) = š’†^š’™+š’„ š‘’^š‘„ + š‘’^(āˆ’š‘¦) = C So, the correct answer is (a)

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