Whilst attempting to prove a conjecture I've become completely stumped at one part. Anyone know what sort of math I should look at to solve for f given
x^2 + y^2 + f(x,y)^2 = 2y + 2f(0,1)f(x,y) = 1 + f(0,1)^2
f(x,y) = ax + by
I was trying to force it into a linear problem but...