2 papers
math.CA2025
An Extended Picard Method to solve non-linear systems of ODE with applications
Manuel Gadella, Luis P. Lara
We provide of a method to integrate first order non-linear systems of differential equations with variable coefficients. It determines approximate solutions given initial or bounda…
math.CA2024
A note on linear differential equations with variable coefficients
Manuel Gadella, Luis Pedro Lara
In this manuscript, we deal with some particular type of homogeneous first order linear systems with variable coefficients, in which we provide qualitative properties of the soluti…