What is the solution for (dy)/(dx)=(x+y)/(x+y+2) ?

The solution for (dy)/(dx)=(x+y)/(x+y+2) is y=\W(1/(2e^{-2x-c_{1)}})-1-x

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(dy)/(dx)=(x+y)/(x+y+2)

\frac{d y}{d x} = \frac{x + y}{x + y + 2}

y = W (\frac{1}{2 e ^{- 2 x - c_{1}}}) - 1 - x

Solution steps

\frac{d y}{d x} = \frac{x + y}{x + y + 2}

Solve using substitution:

y = W (\frac{1}{2 e ^{- 2 x - c_{1}}}) - 1 - x

y = W (\frac{1}{2 e ^{- 2 x - c_{1}}}) - 1 - x

What is the solution for (dy)/(dx)=(x+y)/(x+y+2) ?
The solution for (dy)/(dx)=(x+y)/(x+y+2) is y=\W(1/(2e^{-2x-c_{1)}})-1-x