Differential Equation solve differential equation  $$  \frac{dy}{ dx} =\frac{(3x-y-6)}{(x+y+2)}$$
I tried to do this but it´s first order and posible is separable variables

Another, albeit more tedious method: Let u = x+y+2. Let v = -3x+y+6. Solve for x and y in terms u and v. Take the differentials of u and v and use the result to express both dx and dy in terms of u,v,du,and dv. Swap the results into the original equation and you now get a homogeneous equation now amenable to associated procedures. 
