Resolução de equações diferenciais ordinárias com transformada de Laplace

Abstract

Solving differential equations is not an easy task, there are several different methods all have their facilities, difficulties and limitations. The Laplace transform is no different, have their restrictions, this means that it is not in all situations we can use it, but to apply this transform, it provides us with a change in the differential equation, thus facilitating the means to get the solution of the equation. In this paper we present a detailed study on this transformed, and that there are formulas to facilitate its use. The theorems in the translational support for applying the transform functions in that we can not directly use the formulas. Will be shown the process of how to solve differential equations with Laplace transforms and also some situations encountered in physics that can be solved with the help of this transform.