高师理科学刊Issue(3):32-34,3.DOI:10.3969/j.issn.1007-9831.2015.03.010
一类二阶常系数非齐次线性微分方程特解的矩阵方法
Matrix methodforparticularsolutionsofaclassof2nd-orderinhomogeneous lineardifferentialequationwithconstantcoefficients
高余鸣 1陈为真1
作者信息
- 1. 武汉轻工大学 电气与电子工程学院,湖北 武汉430023
- 折叠
摘要
Abstract
Discuss the particular solution of 2nd-order constant coefficient non-homogeneous linear differential equation yn+py'+qy=eλxpm(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Key words
differential equation of two-order/particular solution/matrix equation分类
数理科学引用本文复制引用
高余鸣,陈为真..一类二阶常系数非齐次线性微分方程特解的矩阵方法[J].高师理科学刊,2015,(3):32-34,3.