梧州学院学报
梧州學院學報
오주학원학보
JOURNAL OF WUZHOU UNIVERSITY
2012年
6期
50-54
,共5页
n阶%常系数%非齐次微分方程%形式幂级数%显示解
n階%常繫數%非齊次微分方程%形式冪級數%顯示解
n계%상계수%비제차미분방정%형식멱급수%현시해
n-th order%constant coefficient%non-homogeneous differential equation%formal power series%an explicit solution
关于常系数非齐次微分方程初值问题的显示解,比较常用的是用古典微分方程理论和组合理论,由解的叠加原理,给出初值问题的解法及解的表达式.文中用形式幂级数法,给出了一种 n 阶非齐次微分方程初值问题的解.
關于常繫數非齊次微分方程初值問題的顯示解,比較常用的是用古典微分方程理論和組閤理論,由解的疊加原理,給齣初值問題的解法及解的錶達式.文中用形式冪級數法,給齣瞭一種 n 階非齊次微分方程初值問題的解.
관우상계수비제차미분방정초치문제적현시해,비교상용적시용고전미분방정이론화조합이론,유해적첩가원리,급출초치문제적해법급해적표체식.문중용형식멱급수법,급출료일충 n 계비제차미분방정초치문제적해.
As for the explicit solution to initial values problems for a non-homogeneous differential equation, the traditional differential equation theory and portfolio theory are often applied. In this paper, by the method of formal power series, the author gives an explicit solution to initial problem of non-homogenous differential equation with constant coefficients.
