Find solutions for f(x) and g(x), such that:

(1): {f(x) + f'(x)}^2 = 1 + f(2x)

(2): {g(x) + g'(x)}^2 = 2*(g(x) + g(2x))

My apologies.
I was thinking e^x for g(x) as Charlie was surmising, but I totally blew it.   My mistake.

And f(x) = sin(x) is also what I had in mind for part (1), though I don't know whether this is a unique solution or not.

Posted by Larry on 2018-04-15 18:20:01