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关于伯努利方程的几种新解法
引用本文:常秀芳,李高.关于伯努利方程的几种新解法[J].雁北师范学院学报,2007,23(2):89-91.
作者姓名:常秀芳  李高
作者单位:山西大同大学工学院,山西,大同,037003
摘    要:从一阶微分方程求解入手,归纳、总结出伯努利方程的三种新解法,这些新解法在学习和应用微分方程时给出解决问题的思维方式和思路,令人深思,它打破了沿用至今的伯努利方程的传统解法.

关 键 词:常数变易法  变量代换法  伯努利方程  一阶线性微分方程
文章编号:1009-1939(2007)02-0089-03
修稿时间:2006-12-15

A Few New solutions of Bernoulli Equation
CHANG Xiu-fang,LI Gao.A Few New solutions of Bernoulli Equation[J].Journal of Yanbei Teachers College,2007,23(2):89-91.
Authors:CHANG Xiu-fang  LI Gao
Institution:School of Technology, Shanxi Datong University, Datong Shanxi, 037003
Abstract:Based on differential equation of first order,the paper concluded three new solutions of Bernoulli equation,and give out a few new way and direction of thinking in learning and using the differential equation.The new solutions break also conventional solution used today.
Keywords:constant transformation method  variable substitution method  Bernoulli equation  the first order linear differential equation
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