几类变系数二阶线性微分方程的通解  

General Solution of Second Order Linear Differential Equation

作　　者：倪华[1] 张剑梅[1] 张丽薇 NI Hua;ZHANG Jian-mei;ZHANG Li-wei(Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, China;Suzhou Wenchang Experimental Middle School, Suzhou Jiangsu 215151, China)

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]苏州文昌实验中学校,江苏苏州215151

出　　处：《大学数学》2021年第1期82-87,共6页College Mathematics

基　　金：“新工科”建设下大学数学教学改革的探讨(5551190023)。

摘　　要：研究了几类变系数二阶线性微分方程,利用变量代换法将其化为可积方程,从而得到二阶线性微分方程的通解.Several kinds of second order linear differential equations are studied.By the method of variable substitution,they are transformed into the equations whose general solutions can be solvable,hereby the general solution of the second order linear differential equation can be obtained.

关 键 词：二阶线性微分方程 变量代换法 通解 

分 类 号：O175.14[理学—基础数学]