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一种利用初值条件解决DE增解问题的方法
引用本文:谢歆鑫.一种利用初值条件解决DE增解问题的方法[J].河南科学,2012,30(6):688-690.
作者姓名:谢歆鑫
作者单位:西安航空职业技术学院,西安,710089
基金项目:陕西省职教学会教育科研项目
摘    要:在求解微分方程(DE)过程中,会遇到一些需要对原方程先求导再求解的操作过程,在这个过程中会出现增解的情况,由此会造成方程的通解或解无法正确表达.利用隐含的初值条件,对增解进行辨析,可以得到原方程的通解或解,并辅以典型例题进行演释.

关 键 词:微分方程  通解  增解  初值条件

A Method on Solving DE Solution Problem by Using Initial Condition
Xie Xinxin.A Method on Solving DE Solution Problem by Using Initial Condition[J].Henan Science,2012,30(6):688-690.
Authors:Xie Xinxin
Institution:Xie Xinxin (Xi' an Aeronautical Polytechnic Institute, Xi' an 710089, China)
Abstract:In the process of solving differential equation (DE), additional solutions may be obtained in the occasions that need solve the derivation first, and then find the solution,which will cause the general solution or solution of the equation can not be obtained correctly. By using the implied initial condition to the general solution or solution of the original equation can be obtained. Some typical and explained. analyze the additional solutions, examples are used to be deducted
Keywords:differential equation  general solution  additional solution  initial condition
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