What is the solution for (dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30) ?

The solution for (dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30) is y=-7\W(-(x+6}{7e^{\frac{x+c_{1})/7}})-2

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(dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30)

\frac{d y}{d x} = \frac{x y + 2 x - y - 2}{x y - 5 x + 6 y - 30}

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1}}{7}}}) - 2

Solution steps

\frac{d y}{d x} = \frac{x y + 2 x - y - 2}{x y - 5 x + 6 y - 30}

Solve separable ODE:

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1}}{7}}}) - 2

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1}}{7}}}) - 2

\int \frac{1}{4 1 + x} d x

\int \frac{1}{( a ^{2} + x ^{2} ) ^{\frac{5}{2}}} d x

\frac{d}{d a} (b lo g_{10} (\frac{y}{x} + \frac{0.6 x}{a}))

y = x^{\frac{4}{3}}, y = 2 x^{\frac{1}{3}}

\int \frac{x}{6} d x

What is the solution for (dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30) ?
The solution for (dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30) is y=-7\W(-(x+6}{7e^{\frac{x+c_{1})/7}})-2