Solve: (x - y ln y + y ln x) dx + x(ln y - ln x) dy = 0

1
\(\rm x\ln \left( \dfrac{y}{x} \right)-y+x\ln x+Cy=0\)
2
\(\rm y\ln \left( \dfrac{x}{y} \right)-y+x\ln x+Cx=0\)
3
\(\rm x\ln \left( \dfrac{x}{y} \right)-y+x\ln x+Cy=0\)
4
\(\rm y\ln \left( \dfrac{y}{x} \right)-y+x\ln x+Cx=0\)
5
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