Example 4 - Chapter 9 Class 12 Differential Equations

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Example 4 - Find general solution of dy/dx = x+1 / 2-y - Examples - Examples

part 2 - Example 4 - Examples - Serial order wise - Chapter 9 Class 12 Differential Equations

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Example 4 Find the general solution of the differential equation š‘‘š‘¦/š‘‘š‘„=(š‘„+1)/(2āˆ’š‘¦) , (š‘¦ā‰ 2)Given š‘‘š‘¦/š‘‘š‘„=(š‘„ + 1)/(2 āˆ’ š‘¦) (2 āˆ’ y) dy = (x + 1) dx Integrating both sides. āˆ«1ā–’怖(šŸāˆ’š’š)š’…š’š=怗 āˆ«1ā–’(š’™+šŸ)š’…š’™ 2y āˆ’ š‘¦^2/2 = š‘„^2/2 + x + c 怖4š‘¦ āˆ’ š‘¦ć€—^2/2 = (š‘„^2+ 2š‘„ + 2š‘)/2 4y āˆ’ y2 = x2 + 2x + 2c 4y āˆ’ y2 = x2 + 2x + r x2 + y2 + 2x āˆ’ 4y + r = 0 is general solution

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo