Improper integrals, Heaviside and Dirac functions, application of the Laplace operator to the differential equations. Solution

The article discusses the use of Laplace transforms for solving differential equations, improper integrals, Heaviside and Dirac functions, generalized functions. In the Mathematica package, it was possible to reduce the program for constructing diagrams in beams from 29 pages (method of initial parameters) to two. Dirac and Heaviside functions are used to take into account the forces and moments in the beams.