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

y (x + 5) + y^{^{'}} = 0

n = 1 \sum \infty \frac{x ^{n}}{n ^{n}}

x \to 0 lim (- (\frac{1}{x}))

\frac{\partial}{\partial x} (\frac{0.09 ( 5 ^{x} )}{x ^{3}})

\frac{d ^{2}}{d x ^{2}} (sin (x^{3}))

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