1. The problem statement, all variables and given/known data Find a general solution of the differential equation. [tex](x+y)y' = x-y[/tex] 2. Relevant equations [tex]v=x+y[/tex] [tex]y=v-x[/tex] [tex]y'=v'-1[/tex] 3. The attempt at a solution So if I plug this back into the original equation; [tex] v(v'-1)= x-y [/tex] How do I convert [tex]v=x+y[/tex] into [tex]x-y[/tex] so that I have only v's and x's? Do I have to make another substitution with x-y?