A Study of Resolve Ordinary Differential Equations of Second Order Using Complex Numbers

Ordinary differential equations (ODEs) are a subject with a broad variety and sometimes in both the last high-school and early stages of tertiary education it is important to introduce it to students. Use of complex variable analyzes a subject that students in question may not have previously discussed, among other methods for solving secondary odes with constant coefficients. The aim of this article is to provide an alternative approach to the general solution without using complex numbers for these types of equations.