Answer to Question #340993 in Differential Equations for mara

Question

Find the general solution of the DE(y^2-2xy+6x)dx-(x^2-2xy+2)dy=0

Answer 1

Note that the DE is a differential of

$F(x, y) = 3x^2+xy^2-x^2y-2y,$

so the general solution is $F(x, y) = c.$