  Some time ago has been studied mathematical models for biogas production due
to its importance in the use of control and optimization of re\-new\-able
resources and clean energy. In this paper we combine two algebraic methods to
obtain solutions of Abel equation of first kind that arise from a mathematical
model to biogas production formulated in France on 2001. The aim of this paper
is obtain Liouvillian solutions of Abel's equations through Hamiltonian
Algebrization. As an illustration, we present graphics of solutions for Abel
equations and solutions for algebrized Abel equations.
