RT Conference Proceedings
T1 A New Web-stepwise Solver for Ordinary Differential Equations
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Le Goff, Morgan
A1 Rodríguez-Cielos, Pedro
A1 Galán-García, María Ángeles
A1 Padilla-Domínguez, Yolanda Carmen
A1 Atencia-McKillop, Iván
A1 Rodríguez-Cielos, Ricardo
K1 Ecuaciones diferenciales
K1 Aplicaciones informáticas
AB In this paper we introduce SODES (Step-wise Ordinary Differential Equations Solver) which is a new solver for Ordinary Dfferential Equations (ODE). SODES can be used not only as a solver but also as a tutorial for the teaching and learning process of ODE, since it provides the solution displaying all the the steps needed to obtain it.In [1] we introduced SFOPDES (Step-wise First Order Partial Differential Equations Solver) developed in Derive, a Computer Algebra System (CAS). Two of the future works related considered in [1] were the development of new step-wise solvers for different math topics and the use of other CAS and programming with Python. This way, it is possible to develop web applications, freely available, providing different step-wise solvers. In this sense, SODES is the first work related with both ideas. Therefore, SODES is a web solver for ODE, developed in Python (using its CAS moduleSymPy).SODES increases the types of ODE that SFOPDES can deal with. Specifically, it provides, step by step, the solution of the following types of ODE:1. First-order ODE: separable equations and equations reducible to them, homogeneous equations and equations reducible to them, exact differential equations and equations reducible to them (integrating factor technique), linear equations, the Bernoulli equation, the Riccati equation, First-order differential equations and nth degree in y', Generic programs to solve first order differential equations.2. Higher-order ODE: higher order linear equations with constant coefficients. As a  final remark, actually, SODES can be used in English, French or Spanish, but it can be easily extendable to other languages.
YR 2020
FD 2020-07-24
LK https://hdl.handle.net/10630/19678
UL https://hdl.handle.net/10630/19678
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026