Analysis of the utility of Laplace transforms for non-linear differential equations

Abstract

The use of Laplace Transforms has long been one of the primary methods utilized in solving linear differential equations but recently the extension and application of this method to the solution of basic nonlinear systems has been proposed. This latter technique is presented and expanded to include various non-linear functions . The applicability of this method to systems of varied form and complexity is then explored and the validity of the derived solution investigated.