Example 9 - Chapter 9 Class 12 Differential Equations (Term 2)
Last updated at Dec. 24, 2018 by Teachoo
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Example 9 You are here
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Chapter 9 Class 12 Differential Equations (Term 2)
Serial order wise
Transcript
Example 9 Find the general solution of the differential equation ππ¦/ππ₯=(π₯+1)/(2βπ¦) , (π¦β 2) ππ¦/ππ₯=(π₯ + 1)/(2 β π¦) , (π¦β 2) (2 β y) dy = (x + 1) dx Integrating both sides. β«1βγ(2βπ¦)ππ¦=γ β«1β(π₯+1)ππ₯ 2y β π¦^2/2 = π₯^2/2 + x + c γ4π¦ β π¦γ^2/2 = (π₯^2+ 2π₯ + 2π)/2 4y β y2 = x2 + 2x + 2c 4y β y2 = x2 + 2x + r x2 + y2 + 2x β 4y + r = 0 is general solution
