# The CDE method, a technique in functional equations

## TL;DR

This paper introduces the CDE method, a powerful yet underappreciated technique for solving functional equations in mathematical competitions, demonstrated through numerous examples and its integration with other methods.

## Contribution

It presents the CDE method as a novel approach, explaining its philosophy and application in solving complex functional equations in competitions.

## Key findings

- CDE method effectively solves challenging functional equations.
- Combines well with other techniques for problem-solving.
- Enhances understanding of functional equations in competitions.

## Abstract

In this article we present an extremely effective and relatively unknown approach to solving functional equations that appear in mathematical competitions. We aim to explain the philosophy of this novel method through numerous examples, which also highlight how this idea can be paired with other useful techniques to crack challenging problems.