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Maths Differential Equations NTA Abhiyas Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

The general solution of the differential equation (2x - y+1)dx + (2y -x + l)dy = 0 is

x 2 + y 2 + xy- x + y = c

x 2 + y 2 -xy + x + y = c

x 2 - y 2 + 2xy - x + y – c

x 2 – y 2 -2xy + x - y = c

Text Solution

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The correct answer is:

x 2 + y 2 - xy + x + y = c

xdy- 2ydy -dy= 2xdx -ydx + dx

(xdy + ydx) - 2ydy -dy- 2xdx - dx = 0

d(xy) - 2ydy -dy - 2xdx - dx = 0

on integrating, we get,

xy– y 2 - y – x 2 - x = c

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