What is the solution for (dy)/(dx)=(xy+y)/(x+xy) ?

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

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(dy)/(dx)=(xy+y)/(x+xy)

\frac{d y}{d x} = \frac{x y + y}{x + x y}

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

Solution steps

\frac{d y}{d x} = \frac{x y + y}{x + x y}

Solve separable ODE:

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

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

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