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

\frac{d}{d x} ((x^{2} + 5 x + 1) f (x) (sin (3 x)))

\int x^{2} \cdot x - 2 d x

\int \frac{7 cos ^{5} ( x )}{sin ( x )} d x

\int 5 x ln (6 x) d x

y = x^{3} + 4

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