一类二阶常系数非齐次线性微分方程特解的矩阵方法  

Matrix method for particular solutions of a class of 2nd-order inhomogeneous linear differential equation with constant coefficients

作　　者：高余鸣 陈为真[1] 

机构地区：[1]武汉轻工大学电气与电子工程学院,湖北武汉430023

出　　处：《高师理科学刊》2015年第3期32-34,共3页Journal of Science of Teachers＇College and University

摘　　要：讨论二阶常系数非齐次线性微分方程y''+py'+qy=eλxPm(x)的特解,首先用待定系数法设出特解中的多项式,然后将多项式的系数满足的等式用矩阵方程表示,得到了求系数的一个新的公式解,可以简单地求出特解.Discuss the particular solution of 2nd-order constant coefficient non-homogeneous linear differential equation y″＋py′＋qy=e^λxPm（x）.At first suppose the polynomial in particular solution by using pending coefficients method,and then find the coefficients by solving the matrix equation they satisfied.So some new formulas are obtained,which simplify the course of finding the particular solution.

关 键 词：二阶常系数微分方程 特解 矩阵方程 

分 类 号：O175[理学—数学]