三类常微分方程的可积判据  

Integral Criteria of Three Kinds of Differential Equations

作　　者：汤光宋[1] 

机构地区：[1]江汉大学数学及计算机系,武汉430019

出　　处：《江汉大学学报》2001年第6期65-68,共4页Journal of Jianghan University

摘　　要：提出三类常微分方程，通过变量替换及交换变量位置法，给出它们的可积判据及其通解的表达式，所得结论是相应文献结果的推广，从而拓宽了它们的应用范围．This paper puts forth three kinds of differential equations, and gives their integral criteria and expression of general solution by means of variable substitution and exchange variable position. The conclusion is drawn from relative refevences and amplification of their usage.

关 键 词：常微方程 交变替换 交换变量位置法 可积判据 通解 RICCATI方程 伯努利方程 

分 类 号：O175.11[理学—数学]