Solve the following differntial equation
(x+y-4)dy - (2x-y+1)dy = 0
EDIT: Oops, it should be (x+y-4)dy - (2x-y+1)dx = 0
The Attempt at a Solution
I integrated both sides and ended up with:
[y(2x +y-8)]/2 = X^2 + x(1-y) + c
Did I solve this right, or am I supposed to do something else?