In this volume we give some examples of the elementary part of the theory of the Laplace transformation as described in Ventus, Complex Functions Theory a-5, The Laplace Transformation II. The chapters and the sections will follow the same structure as in the above mentioned book on the theory. The examples have been collected about 30 years ago from some long forgotten book on applications. It was then pointed out by the author, and repeated here that one should not uncritically apply the Laplace transformation in all cases. Sometimes the simpler methods known from plain Calculus may be easier to apply
