The function u(x, y) = c which satisfies the differential equation

x(dx - dy) + y(dy - dx) = 0, is

1
\(\rm x^2+y^2=xy+c\)
2
\(\rm x^2+y^2 =4xy+c\)
3
\(\rm x^2-y^2=xy+c \)
4
\(\rm x^2 -y^2=2xy+c\)

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