Close relation between the integrating factor and the Green function for first-order differential equations

Íntima relação entre o fator integrante e a função de Green para equações diferenciais de primeira ordem

For first-order ordinary differential equations, it is shown by a very simple and straightforward approach how the integral representation of the particular solution with the integrating factor as part of the integrand can be manipulated in favor of an integral representation in terms of the Green function.

Keywords:
Integrating factor; Green function; Linear velocity-dependent friction