MathDB

function

Source: Ireland 1995

July 1, 2009

functionvectoralgebra unsolvedalgebra

Problem Statement

Find all functions

f: \mathbb{R} \rightarrow \mathbb{R}

such that for all real numbers

x,y

: x f(x)\minus{}yf(y)\equal{}(x\minus{}y)f(x\plus{}y).