What is the solution for (xy-x)dx+(xy+y)dy=0 ?

The solution for (xy-x)dx+(xy+y)dy=0 is y=\W((x+1)/(e^{-c_{1)+x+1}})+1

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(xy-x)dx+(xy+y)dy=0

(x y - x) d x + (x y + y) d y = 0

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

Solution steps

(x y - x) d x + (x y + y) d y = 0

Solve separable ODE:

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

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

\int x cos (\frac{nπ x}{3}) d x

\int sin (r) d r

y = 9 e^{x} + x

\frac{d y}{d x} = e^{2 x - 3 y}

\frac{\partial}{\partial x} (7 x cos (x) cos (y))

What is the solution for (xy-x)dx+(xy+y)dy=0 ?
The solution for (xy-x)dx+(xy+y)dy=0 is y=\W((x+1)/(e^{-c_{1)+x+1}})+1