Chapter 1: what is a modeling?

It is a process to create a model to make or understand something. A mathematical modeling is then defined as a process from the mathematical point, of view in which describes a real-world fact; the main objective is to understand that process and also to predict its behavior in the future.

The differential equations as mathematical modeling.

When the hypothesis is raised, implies the reason or rate of change of one or more variables involved. Therefore, the mathematical statement of this hypothesis is one or more equations, which involved, derivative, ie, differential equations.