几类变系数常微分方程通解的求法  

On General Solutions to Several Classes of Ordinary Differential Equations with Variable Coefficients

作　　者：王小才[1] 吴延东[1] 

机构地区：[1]淮阴工学院数理学院,江苏淮安223003

出　　处：《淮阴师范学院学报（自然科学版）》2011年第6期476-481,486,共7页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：利用几种变换方法,给出了一些具有特殊形式的变系数微分方程求解方法,并通过实例说明了方法的可行性,有效扩充了变系数微分方程可解范围.In this paper, we give some methods to find the general solutions for several special forms of ordinary differential equations with variable coefficients. Moreover, we give some examples to illustrate the feasibility of our methods. Hence, our results effectively extend the solvable range for the variable coefficient differential equations.

关 键 词：常微分方程 变系数 通解 变换 特征方程 

分 类 号：O175.1[理学—数学]