Question 1 - Formation of Differntial equation when general solution given - Chapter 9 Class 12 Differential Equations

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Question 1 - Form differential equation: x/a + y/b = 1 - Forming Diffe - Forming Differential equations

part 2 - Question 1 - Forming Differential equations - Serial order wise - Chapter 9 Class 12 Differential Equations

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Question 1 Form a differential equation representing the given family of curves by eliminating arbitrary constants š‘Ž and š‘. š‘„/š‘Ž+š‘¦/š‘=1 Here , we eliminate constants by Differentiating both sides w.r.t.x Now, š‘„/š‘Ž+š‘¦/š‘=1 Differentiating Both Sides w.r.t. š‘„ 1/š‘Ž+1/š‘.š‘‘š‘¦/š‘‘š‘„=0 1/š‘.š‘‘š‘¦/š‘‘š‘„=(āˆ’1)/( š‘Ž) The number of times we differentiate is equal to number of constants š’…š’š/š’…š’™=(āˆ’š’ƒ)/( š’‚) Again Differentiating Both Sides w.r.t. š‘„ (š’…^šŸ š’š)/(š’…š’™^šŸ )=šŸŽ Thus, Differential Equation Is :- š’š^ā€²ā€²=šŸŽ

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