What is the solution for (dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12) ?

The solution for (dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12) is y=-7\W(-(x+6}{7e^{\frac{x+c_{1}+5)/7}})-5

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(dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12)

\frac{d y}{d x} = \frac{( x y + 5 x - y - 5 )}{x y - 2 x + 6 y - 12}

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

Solution steps

\frac{d y}{d x} = \frac{( x y + 5 x - y - 5 )}{x y - 2 x + 6 y - 12}

Solve separable ODE:

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

(2 + x) y^{^{'}} = y

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

\frac{d y}{d x} + \frac{y}{6} = 0

\frac{d y}{d x} + 5 x y = 6 x

\frac{1}{3 y ^{^{'}}} = \frac{2 x + 1}{6 y}

What is the solution for (dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12) ?
The solution for (dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12) is y=-7\W(-(x+6}{7e^{\frac{x+c_{1}+5)/7}})-5