On Sahoo-Riedel equations again (Q264174)

The author determines all solutions \(f,g,\varphi,\psi: I\to\mathbb{R}\), where \(I\subset\mathbb{R}\) is a~non-degenerated interval, to the functional equations \[ f(x)-f(y)=(x-y)[\varphi(x)\psi(y)+g(x)+g(y)] \] and \[ xf(y)-yf(x)=(x-y)[\varphi(x)\psi(y)+g(x)+g(y)]. \]