3 papers
math-ph2023
Solving first order differential equations presenting elementary functions
L. G. S. Duarte, L. A. C. P. da Mota, A. B. M. M. Queiroz
We have already dealt with the problem of solving First Order Differential Equations (1ODEs) presenting elementary functions before in [1, 2]. In this present paper, we have establ…
math-ph2023
A New S-Function Method searching for First Order Differential Integrals: Faster, Broader, Better
L. G. S. Duarte, L. A. C. P. da Mota, I. S. S. Nascimento
Here we present a very efficient method to search for Liouvillian first integrals of second order rational ordinary differential equations (rational 2ODEs). This new algorithm can…
math-ph2010
A Semi-Algorithmic Search for Lie Symmetries
L. G. S. Duarte, L. A. C. P. da Mota
In [Solving second order ordinary differential equations by extending the Prelle-Singer method, J. Phys. A: Math.Gen., 34, 3015-3024 (2001)] we defined a function (we called S) ass…