O uso da transformada de Laplace na resolução de problemas de valor inicial.

Abstract

In this work, a brief study on Ordinary Differential Equations was presented with an emphasis on Laplace’s Transformation, which presents itself as an important method in the Solving problems involving mechanical or electrical systems acted by agents discontinuous or impulsive. This method consists of solving a problem specific to the Differential Equations, making use of an improper integral transforming into a algebraic equation, which becomes easy to solve compared to traditional methods resolution of EDOs. Finally, we show that the method is useful in solving problems of initial value, making a comparison of the resolution made with traditional methods, with the resolution made using the Laplace transform.