What is the solution for (dy)/(dx)=-(y(1-x))/(x(1-y)) ?

The solution for (dy)/(dx)=-(y(1-x))/(x(1-y)) is y=-\W(-1/(e^{-x-c_{1)}x})

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(dy)/(dx)=-(y(1-x))/(x(1-y))

\frac{d y}{d x} = - \frac{y ( 1 - x )}{x ( 1 - y )}

y = - W (- \frac{1}{e ^{- x - c_{1}} x})

Solution steps

\frac{d y}{d x} = - \frac{y ( 1 - x )}{x ( 1 - y )}

Solve separable ODE:

y = - W (- \frac{1}{e ^{- x - c_{1}} x})

y = - W (- \frac{1}{e ^{- x - c_{1}} x})

What is the solution for (dy)/(dx)=-(y(1-x))/(x(1-y)) ?
The solution for (dy)/(dx)=-(y(1-x))/(x(1-y)) is y=-\W(-1/(e^{-x-c_{1)}x})