This submission deals with the study of linear dynamic systems with high-speed feedback with the boundary conditions. By the solution to differential equations (DE) we obtain the time course of the output of the dynamic systems at the defined input and initial conditions. The use of Laplace transform (LT) to solve the differential equations is one of the possibilities. The use of LT is an analogy to the use of logarithms by numerical calculations, where the more complex operations of multiplication and division are transformed via logarithm into simpler operations of addition and subtraction [2].
Keywords: linear differential systems, Laplace transform, boundary conditions