The general solution of \(\mathrm{x}(\mathrm{y}-\mathrm{z}) \frac{\partial z}{\partial x}+\mathrm{y}(\mathrm{z}-\mathrm{x}) \frac{\partial z}{\partial y}\) = z(x - y) will be ________ 

1
F(x + y + z, xyz) = 0
2
F(xy + yz, xyz) = 0
3
\(\mathrm{F}(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}, x y z)=0\)
4
F(x2 - y2, z) = 0

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