Recent content by bangbangbang

Judging from the numeric approximation, neither of those seem to be the case. I will try it and see what happens though. I have tried many things. One thing I was considering was to use the cross correlation of f(x) with a conveniently chosen function, make a substitution, and use the...

Ok, so I can make a substitution: y(x) = x + 1 + f(-x). Then y ' (x) = 1 - f ' (-x). I don't see where to go from there, since y ' (x) does not appear in the original equation. However y ' (-x) = 1 - f ' (x) does appear in the original equation. If i make that substitution I get...

I am trying to solve: (x + 1 + f(-x) )(1 - f ' (x) ) = x+1 f(0) = x_0 x in (-1,1) I approximated it numerically but any analytic method I try fails. Any ideas?