Aspects of proper differential sequences of ordinary differential equations

TL;DR

This paper introduces the concept of proper differential sequences of ordinary differential equations and presents a method to derive alternative integral sequences, supported by illustrative examples.

Contribution

It defines proper differential sequences and proposes a novel method to find alternative integrals, enhancing understanding of their properties.

Findings

Defined proper differential sequences

Developed a method for alternative integrals

Illustrated properties with examples

Abstract

We define a proper differential sequence of ordinary differential equations and introduce a method to derive an alternative sequence of integrals for such a sequence. We describe some general properties which are illustrated by several examples.