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

2021/11/20 by Patrik Lundström, Lundström, Patrik
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #History and Overview (math.HO) #Mathematical and Theoretical Analysis #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2111.11842

openalex publication_date 2021/11/20 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We provide a short proof, not utilizing complex numbers, for the solution set\nof homogeneous second order linear differential equations with constant\ncoefficients.\n

Related

• Non-Existence of Finite Order Solution of Non-homogeneous Second Order\n Linear Differential Equations
• Linear PDE with Constant Coefficients
• A short proof of solution formulas for the linear differential equations with constant coefficients
• Infinite order solutions of second order linear differential equations
• Solutions of Higher Order Linear Differential Equations