一类变系数三阶线性微分方程求解及Maple实现  

Solving and Implementing by Maple for a Class of Three-Order Linear Differential Equations With Variable Coefficients

作　　者：郭伟[1] 

机构地区：[1]长治学院,山西长治046011

出　　处：《忻州师范学院学报》2016年第2期5-7,共3页Journal of Xinzhou Teachers University

摘　　要：三阶线性微分方程的求解问题是常微分方程课程中的一类重要问题。然而,变系数微分方程往往比常系数微分方程的求解要复杂很多。文章通过判断变系数三阶线性微分方程常系数化的条件,运用Maple软件把变系数三阶线性微分方程转化为常系数三阶线性微分方程。结合变系数三阶微分方程的Maple直接求法,得出的常系数化后的结果更精确。Solving the three- order linear differential equations is an important problem in the class ofordinarydifferentialequation. However,thecase becomes more intricate for variable- coefficient differential equations than the ones with constant- coefficient. By judging the conditions from the variable- coefficient case to the constant- coefficient case and combing with the function of transforming from the variable- coefficient case to constant- coefficient one for the software of Maple,it is much more accurate for the results of constant- coefficient differential equations than before.

关 键 词：变系数 常系数 三阶线性微分方程 MAPLE 

分 类 号：O24[理学—计算数学]