What is the solution for (dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16) ?

The solution for (dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16) is y=-9\W(-(x+8}{9e^{\frac{x+c_{1}+7)/9}})-7

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(dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16)

\frac{d y}{d x} = \frac{x y + 7 x - y - 7}{x y - 2 x + 8 y - 16}

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

Solution steps

\frac{d y}{d x} = \frac{x y + 7 x - y - 7}{x y - 2 x + 8 y - 16}

Solve separable ODE:

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

\frac{\partial}{\partial x} (3 x^{2} y^{2} + 3)

\int \frac{x}{( x ^{2} - 1 ) ^{\frac{3}{2}}} d x

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\frac{( e ^{x} - e ^{- x} )}{2}

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What is the solution for (dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16) ?
The solution for (dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16) is y=-9\W(-(x+8}{9e^{\frac{x+c_{1}+7)/9}})-7