变量代换和几类四次多项式微分方程的通解  

Transformation Method and the General Solution of 4th Order Polynomial Differential Equations

作　　者：倪华[1] 刘文珊 周静 苗晴 汤晔 NI Hua;LIU Wenshan;ZHOU Jing;MIAO Qing;TANG Ye(Faculty of Science,Jiangsu University,Zhenjiang 212013)

机构地区：[1]江苏大学理学院

出　　处：《高等数学研究》2019年第4期53-56,59,共5页Studies in College Mathematics

基　　金：江苏大学第17批大学生科研立项(Y17A090)

摘　　要：研究了几类四次多项式微分方程,利用变量代换法得到了方程的通解的充分性条件.This paper deals with several classes of 4th order polynomial differential equations.By using transformation method,sufficient conditions are obtained for the existence of general solutions of the 4th order polynomial differential equations.

关 键 词：四次多项式方程 变量代换法 通解 

分 类 号：O175.14[理学—数学]