| 关于积分因子的讨论 |
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| 引用本文： | 温启军,张丽静.关于积分因子的讨论[J].长春大学学报,2006(10). |
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| 作者姓名： | 温启军 张丽静 |
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| 作者单位： | 长春大学理学院 吉林长春130022(温启军)，延吉市第三高中 吉林延吉133000(张丽静) |
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| 基金项目： | 全国教育科学“十五”规划教育部重点课题(DHB010678) |
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| 摘 要： | 采用积分因子方法将一阶微分方程转化为全微分方程是求解微分方程一个重要手段,讨论了积分因子存在的充要条件及确定若干特殊类型积分因子的准则;通过实例来说明准则的应用方法。
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| 关 键 词： | 微分方程 全微分方程 积分因子 存在准则 |
Discussion on integrating factors |
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| WEN Qi-jun,ZHANG Li-jing.Discussion on integrating factors[J].Journal of Changchun University,2006(10). |
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| Authors: | WEN Qi-jun ZHANG Li-jing |
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| Institution: | WEN Qi-jun~1,ZHANG Li-jing~2 |
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| Abstract: | Transforming first order differential equation to complete differential equation by the way of integrating factors is an important means to seek solution for differential equations.This paper discusses the sufficient and necessary condition for existence of integrating factors and rules of determining some special kinds of integrating factors.It also takes some actual examples to explain the application of rules. |
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| Keywords: | differential equation complete differential equation intergrating factor existence rules |
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