Academia.eduAcademia.edu

Laplace Transforms

AI-generated Abstract

The paper discusses Laplace transforms as a method for solving linear differential equations with constant coefficients. It outlines the reduction of complex differential equations into simpler algebraic forms, facilitating easier processing via algebraic manipulations. It establishes conditions under which functions possess Laplace transforms, providing formulae and solving specific problems using tables of integrals. The paper presents functional relationships and properties within the context of Laplace transforms, offering comprehensive examples and problems for better understanding.