The idea of the Laplace transform has had a profound influence on the development of mathematical analysis. The only thing that remains, in order to find an explicit solution to the original differential equation, is to find the inverse Laplace transform of the right-hand side of. Pierre Simon de Laplace was a French mathematician and theoretical astronomer who were so celebrated in his own time that he was sometimes called “the Isaac Newton of France.” His main scientific interests were celestial mechanics and the theory of probability. One of the most important features of Laplace’s Mecanique Celeste is its development of potential theory. Laplace was politically very clever, and always managed to align himself with the party in power. Laplace’s overall impact on modern mathematics has been immense, and his name occurs frequently in the literature.