@article { , title = {Series Solution of Second-Order Linear Homogeneous Ordinary Differential Equations via Complex Integration}, abstract = {A method is presented, with standard examples, based on an elementary complex integral expression, for developing, in particular, series solutions for second-order linear homogeneous ordinary differential equations. Straightforward to apply, the method reduces the task of finding a series solution to the solution, instead, of a system of simple equations in a single variable. The method eliminates the need to manipulate power series and balance powers, which is a characteristic of the usual approach. The method originated with Herrera [3], but was applied to the solution of certain classes of nonlinear ordinary differential equations by him.}, doi = {10.12988/imf.2014.4492}, eissn = {1312-7594}, note = {School: sch\_eng}, pages = {967-976}, publicationstatus = {Published}, publisher = {Hikari}, url = {http://researchrepository.napier.ac.uk/id/eprint/7765}, volume = {9}, keyword = {510 Mathematics, QA Mathematics, Series solution, ordinary differential equations, complex integrals}, year = {2024}, author = {Robin, William} }