| 二阶变系数线性微分方程及其衍生方程 |
| |
| 引用本文： | 李高,常秀芳. 二阶变系数线性微分方程及其衍生方程[J]. 河北北方学院学报(自然科学版), 2011, 27(5): 13-15 |
| |
| 作者姓名： | 李高 常秀芳 |
| |
| 作者单位： | 山西大同大学煤炭工程学院,山西大同,037003 |
| |
| 摘 要： | 目的探究二阶变系数线性微分方程的求解.方法从构造二阶变系数线性微分方程解的形式出发,给出正负各级衍生方程的概念.结果得到二阶线性微分方程衍生方程的存在性,各级衍生方程的递推公式,导出二阶变系数线性微分方程与衍生方程解的关系.结论得到二阶变系数线性微分方程求解方法的重要结论.
|
| 关 键 词： | 二阶变系数齐次线性微分方程 初始方程 衍生方程 衍生方程的存在性 递推公式 |
Second-order Variation Coefficient Linear Differential Equation and Its Derivative Equation |
| |
| LI Gao,CHANG Xiu-fang. Second-order Variation Coefficient Linear Differential Equation and Its Derivative Equation[J]. JournalofHebeiNorthUniversity(NaturalScienceEdition), 2011, 27(5): 13-15 |
| |
| Authors: | LI Gao CHANG Xiu-fang |
| |
| Affiliation: | LI Gao,CHANG Xiu-fang (School of Coal Engineering,Shanxi Datong University,Datong 037003,Shanxi,China) |
| |
| Abstract: | Objective To explore the solution to second-order variation coefficient linear differential equations.Methods By constructing the models of the solution to this kind of equation,the concept of all levels of derivative equations is obtained.Results The existence of the derivative equations,and the recurrence formula of those equations are obtained,and the relations between the primitive equation and the derivate equations are deduced.Conclusion Important conclusions of the solution to this kind of equations are obtained. |
| |
| Keywords: | second-order variation coefficient linear differential equation primitive equation derivative equation existence of derivative equations recurrence formula |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
