2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159366A general method for solving linear differential equations of arbitrary order, is used to arrive at new representations for the solutions of the known differential equations, both without and with a source term. A new quasi-solvable potential has also been constructed taking recourse to the above method.This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/Mathematical PhysicsExactly Solvable and Integrable SystemsOn the Applications of a New Technique to Solve Linear Differential Equations, with and without Sourcetext