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

(3 ln (x))^{^{'}}

\frac{d}{d x} (sin (\frac{1}{x ^{2} - 5}))

\frac{d}{d x} (ln (\frac{1}{cos ( x )}))

x \to a lim (\frac{0}{0})

\int \frac{x ^{2}}{x ^{6} - 4} 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