What is the solution for (dy)/(dx)=((xy-4x+y-4))/((xy-6x-3y+18)) ?

The solution for (dy)/(dx)=((xy-4x+y-4))/((xy-6x-3y+18)) is y=-2\W(-1/(2e^{(x+c_{1)-4)/2}(x-3)^2})+4

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(dy)/(dx)=((xy-4x+y-4))/((xy-6x-3y+18))

\frac{d y}{d x} = \frac{( x y - 4 x + y - 4 )}{( x y - 6 x - 3 y + 18 )}

y = - 2 W (- \frac{1}{2 e ^{\frac{x + c _{1} - 4}{2}} ( x - 3 ) ^{2}}) + 4

Solution steps

\frac{d y}{d x} = \frac{( x y - 4 x + y - 4 )}{( x y - 6 x - 3 y + 18 )}

Solve separable ODE:

y = - 2 W (- \frac{1}{2 e ^{\frac{x + c _{1} - 4}{2}} ( x - 3 ) ^{2}}) + 4

y = - 2 W (- \frac{1}{2 e ^{\frac{x + c _{1} - 4}{2}} ( x - 3 ) ^{2}}) + 4

\frac{d y}{d t} = 16 y

2 y y^{^{'}} = 12 t^{2}

\frac{d y}{d x} = \frac{y ^{3}}{x ^{4}}

\frac{d y}{d x} = - \frac{2}{4} x^{3} y^{8}

\frac{d y}{d t} = \frac{0.002 \cdot ( - 4.43 y )}{10}

What is the solution for (dy)/(dx)=((xy-4x+y-4))/((xy-6x-3y+18)) ?
The solution for (dy)/(dx)=((xy-4x+y-4))/((xy-6x-3y+18)) is y=-2\W(-1/(2e^{(x+c_{1)-4)/2}(x-3)^2})+4