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Show that the substitutions $z= ax + by + c$ changes $y' = f(ax + by + c)$ into an equation with separable variables. Hence, solve the equation $y' = (x+y)^2$.

(hint: $\int \frac{1}{(1 + u^2)}du = tan^{-1} u+c$)

I thought i could do this, but my working takes me nowhere near to the hint. Therefore i'm lost. Help plz!