Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

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Chapter 9 Class 12 Differential Equations

Serial order wise

Last updated at May 29, 2023 by Teachoo

Example 4 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