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An useful instrument in tackling differential equations and partial differential equations is proved to be the Laplace’s transform which we study in this paragraph. The Laplace’s transform makes the correspondence between two functions set, one having difficult operations, and second, more accessible. For instance, a differential equation in the first functions set is transformed in an algebrical equation in the second functions set. This correspondence is made by means of a transformation. We will deal only with the Laplace’s transform and Fourier’s transform.