This paper will show how the theory of equations where at least one of its terms is a derivative can be solved from two points of view: The first one involves the quantitative analysis of a system and the second one involves the qualitative analysis of a system. In this manuscript, we will show the one that uses the qualitative analysis since we are interested more than the solution of the equation, in its behavior over time and the nature of its solution in terms of how stable it may or may not be. This will be possible through the analysis of the characteristics of the system since they provide us with information on the behavior of the solution, such is the case of a very important one: stability. This stability is desired to be preserved in the face of small variations that the system may present, contrary to what happens when the explicit solution is obtained. The path of the qualitative analysis will lead us to the chaos theory, for this we will show the model and analysis for a strange attractor which is obtained from the Maxwell Bloch model for the laser. This model will present a fork-type bifurcation. To show the solution methodology, due to its complexity, we will take its analogous as a simplified Lorenz model through a change of variable that allows its qualitative analysis.