2010, 04, v.20;No.65 48-50+63
二阶变系数线性非齐次微分方程的通解
基金项目(Foundation):
邮箱(Email):
DOI:
| 610 | 2 | 8 |
| 下载次数 | 被引频次 | 阅读次数 |
摘要：
对于形如y″+a(x)y′+b(x)y=0的二阶变系数常微分方程,在已知一个特解y1(x)的情况下,通过线性变换,找到了一个既与y1(x)线性无关又可由变系数a(x)、b(x)共同表出的特解y2(x),从而使二阶变系数线性非齐次常微分方程的通解可用其变系数a(x)、b(x)明确地表达出来。
Abstract：Second-order ordinary differential equations with variable coefficients are presented in this paper.When one particular solution is known,by means of nonlinear transformation the general solution can be expressed in terms of variable coefficients.
参考文献
[1]KENDALL E A,WEIMIN H,DAVID S.Numerical Solution of Ordinary Differential Equations[M].Hoboken,Wiley,NewJersey:2009.
[2]GEORGE E.Solution of ordinary differential equations by continuous groups[M].Florida:Chapman&Hall/CRC,2001.
基本信息:
DOI：
中图分类号:O175.1
引用信息:
[1]杜庆.二阶变系数线性非齐次微分方程的通解[J].天津工程师范学院学报,2010,20(04):48-50+63.
基金信息: