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

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

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

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

y = \frac{e ^{1 - x + c_{1}}}{1 - x} + 1

Solution steps

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

Solve separable ODE:

y = \frac{e ^{1 - x + c_{1}}}{1 - x} + 1

y = \frac{e ^{1 - x + c_{1}}}{1 - x} + 1

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