MathDB

Differential FE

Source: 2023 IMC #1

August 2, 2023

calculusderivativefunctional equationIMCfunctionIMC 2023

Problem Statement

Find all functions

f: \mathbb{R} \to \mathbb{R}

that have a continuous second derivative and for which the equality

f(7x+1)=49f(x)

holds for all

x \in \mathbb{R}