Some Notes on the Solutions of non Homogeneous Differential Equations

摘要

We solve some forms of non homogeneous differential equations in one and twodimensions. By expanding the solution into whell-posed closed form-Eisensteinseries the solution itself is quite simple and elementary. Also we considerFourier series solutions of linear differential operator equations. In thethird section we study operators which are functions of the Leibnitzderivative. The last result is the complete solution of a non homogenus2-degree ODE with linear coeficients. The non homogenous part is an arbirtaryfunction of $L_2(\bf R\rm)$