  Let $D$ be a noncommutative division ring. In a recent paper, Lee and Lin
proved that if $\text{char}\, D\ne 2$, the only solution of additive maps $f,
g$ on $D$ satisfying the identity $f(x) = x^n g(x^{-1})$ on $D\setminus \{0\}$
with $n\ne 2$ a positive integer is the trivial case, that is, $f=0$ and $g=0$.
Applying Hua's identity and the theory of functional and generalized polynomial
identities, we give a complete solution of the same identity for any
nonnegative integer $n$ if $\text{char}\, D=2$.
