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## Homework Statement

Find a general solution of the differential equation.

[tex](x+y)y' = x-y[/tex]

## Homework Equations

[tex]v=x+y[/tex]

[tex]y=v-x[/tex]

[tex]y'=v'-1[/tex]

## 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?