%0 Journal Article
%T The Particular Solutions for Certain Second Order Non-homogeneous Euler Equation
%A ZHANG Shou-gui
%J Journal of Chongqing Normal University
%D 2013
%I Chongqing Normal University
%X Based on variable transformation method, this paper deduces the linear ordinary differential equations with constant coefficients for some kinds of second order Euler equation x2y¡å+pxy¡ä+qy=f(x). The particular solutions of special shape non-homogeneous terms f(x)=Ax¦Ácos(¦Âln* are obtained by complex number algorithm, and the general formulas of scheme are given by *. The results of some examples illustrate the correctness of conclusion and practicality of the scheme presented£®(* Indicates a formula, please see the full text)
%K Euler equation£»non-homogeneous£»particular solution£»variable transformation£»complex number algorithm
%U http://journal.cqnu.edu.cn/1302/pdf/130212.pdf