Laplace transformations of basic functions

During calculations of Laplace transformations of various functions, formulas for Laplace transformations of basic functions are applied. It is possible to calculate transformation for functions, which are considered in examples, but the easiest way is application of formulas for basic transformations. During calculations differential equation transformed to Laplace form is smashed to simple fractions. In the next step simple fractions are compared with formulas for Laplace transformations of basic functions.