What is the solution for (dy)/(dx)=((xy+3x-y-3))/(xy-2x+4y-8) ?

The solution for (dy)/(dx)=((xy+3x-y-3))/(xy-2x+4y-8) is y=-5\W(-(x+4}{5e^{\frac{x+c_{1}+3)/5}})-3

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(dy)/(dx)=((xy+3x-y-3))/(xy-2x+4y-8)

\frac{d y}{d x} = \frac{( x y + 3 x - y - 3 )}{x y - 2 x + 4 y - 8}

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

Solution steps

\frac{d y}{d x} = \frac{( x y + 3 x - y - 3 )}{x y - 2 x + 4 y - 8}

Solve separable ODE:

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

\int \frac{2 x}{x ^{2} + x} d x

\frac{s}{s + 4}

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

\frac{\partial}{\partial x} (5 x^{2} y - 5 x + 4 y^{3})

\int x^{2} (e^{x}) d x

What is the solution for (dy)/(dx)=((xy+3x-y-3))/(xy-2x+4y-8) ?
The solution for (dy)/(dx)=((xy+3x-y-3))/(xy-2x+4y-8) is y=-5\W(-(x+4}{5e^{\frac{x+c_{1}+3)/5}})-3