一类特殊类型的伯努利方程解法  

Solutions for a class of special Bernoulli equation

作　　者：张玮玮 ZHANG Weiwei(School of Mathematics and Physical,Anqing Normal University,Anqing 246113,China)

机构地区：[1]安庆师范大学数理学院,安徽安庆246113

出　　处：《高师理科学刊》2024年第4期13-15,共3页Journal of Science of Teachers＇College and University

基　　金：安徽省高等学校省级教学研究项目(2021jyxm0883);安徽省自然科学金面上项目(1908085MA01)。

摘　　要：伯努利方程在常微分方程中占有十分重要的地位,在众多领域有着广泛应用,其求解方法是一个开放性的课题.针对一类特殊的伯努利方程,通过变量变换,给出了一种特殊的求解方法,并通过具体实例说明该方法相比传统的求解方法更简洁、更有效.Bernoulli equation plays a very important role in ordinary differential equations,which has widespread practical applications in various fields,and it is an open topic for solving methods.A special solution method for a class of special Bernoulli equation is given by variable transformation.Some examples are given to illustrate that this method is simpler and more effective than the traditional solution method.

关 键 词：伯努利方程 特殊类型 通解 积分 

分 类 号：O175.1[理学—数学]