标题:
二阶变系数线性微分方程化为标准型的求解Solution of Two Order Variable Coefficient Linear Differential Equation into Standard Form
作者:
陈雄, 林诗游, 张皓涵
关键字:
二阶变系数, 线性微分方程, 标准型, 余函数, 特积分, 通解Two Order Variable Coefficient, Linear Differential Equation, Standard Type, Cofunction, Particular Integral, General Solution
期刊名称:
《Advances in Applied Mathematics》, Vol.5 No.1, 2016-02-26
摘要:
本文给出关于二阶变系数线性微分方程的求解,转变以往降阶的常规思维,利用其标准型进行求解。在标准型的求解中,通过对原微分方程的化简,利用余函数和特积分,分别求出其标准型齐次和非齐次的解,最后构造出原方程通解。
This paper discusses the solution of the two order variable coefficient linear differential equation with standard type, which transforms the traditional method of reducing order. Through simpli-fying the original differential equation and using means of cofunction and particular integral, we can get the homogeneous and non-homogeneous solution of the standard type. Finally we can construct the general solution of the original equation.