变系数三阶线性微分方程的换元解法  

Change Element Method of the Three Order Linear Differential Equations with Variable Coefficients

作　　者：董建新[1] 王慧蓉[1] Dong Jian-xin Wang Hui-rong(Department of Mathematics, Changzhi University, Changzhi 046011, Shanxi, China)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《山西师范大学学报（自然科学版）》2017年第1期17-19,共3页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：长治学院科研项目(201607);长治学院教改项目(JY201508)

摘　　要：应用换元的思想,结合待定系数法,给出了一类变系数三阶线性微分方程的换元解法,并证明了其可行的充要条件.Based on the changing element idea and the undetermined coefficient method,the variable element method for the three order linear differential equation with variable coefficients is given,and the necessary and sufficient condition of its feasibility is proved.

关 键 词：变系数 三阶线性微分方程 换元法 

分 类 号：O172.2[理学—数学]