A short noncomplex proof for the solution set of homogeneous second order linear differential equations with constant coefficients

TL;DR

This paper presents a concise, real-number-based proof for the solution set of homogeneous second order linear differential equations with constant coefficients, avoiding complex number methods.

Contribution

It introduces a simplified proof that does not rely on complex numbers, making the solution more accessible.

Findings

Proof is shorter and more straightforward

Avoids complex number techniques

Applicable to all homogeneous second order equations

Abstract

We provide a short proof, not utilizing complex numbers, for the solution set of homogeneous second order linear differential equations with constant coefficients.