The general solution of the differential equation 2 x - y + 1 d x + 2 y - x + 1 d y = 0 is

Question

The general solution of the differential equation 2 x - y + 1 d x + 2 y - x + 1 d y = 0 is, x 2 + y 2 + x y - x + y = c, x 2 + y 2 - x y + x + y = c, x 2 - y 2 + 2 x y - x + y = c, x 2 - y 2 - 2 x y + x - y = c

MARKS App · Accepted Answer

xdy - 2 ydy - dy = 2 xdx - ydx + dx xdy + ydx - 2 ydy - dy - 2 xdx - dx = 0 d(xy) - 2 ydy - dy - 2 xdx - dx = 0 on integrating, we get, xy - y 2 - y - x 2 - x = c

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