A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution - II

TL;DR

This paper introduces a semi-decision method for solving first order differential equations involving Liouvillian functions, extending existing techniques by leveraging the structure of integrating factors.

Contribution

It presents a novel semi-decision procedure specifically designed for LFOODEs, building upon the concept of integrating factor structure similar to Prelle-Singer.

Findings

Effective in identifying solutions with Liouvillian functions

Extends the applicability of semi-decision methods

Provides a systematic approach for LFOODEs

Abstract

We present a semi-decision procedure to tackle first order differential equations, with Liouvillian functions in the solution (LFOODEs). As in the case of the Prelle-Singer procedure, this method is based on the knowledge of the integrating factor structure.