| 一类可化为逐次积分的n阶线性微分方程的解法 |
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| 引用本文： | 孙长军.一类可化为逐次积分的n阶线性微分方程的解法[J].成都大学学报(自然科学版),2005,24(3):161-163. |
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| 作者姓名： | 孙长军 |
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| 作者单位： | 连云港职业技术学院基础部,连云港,222006 |
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| 摘 要： | 通过把线性微分方程xy(n) ny(n-2)=f(x)化为可逐次积分的线性微分方程,找出了它通解的形式,给出了严格的证明,并将它推广,得到xy(n) (x n)y(n-1) (n-1)y(n-2)=f(x)的通解.
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| 关 键 词： | 逐次积分 线性微分方程 解法 逐次积分 线性微分方程 解法 Integral Linear Differential Equation Step 通解 |
| 文章编号： | 1004-5422（2005）03-0161-03 |
| 收稿时间： | 2004-11-11 |
| 修稿时间： | 2004-11-11 |
The Solution of n Step Linear Differential Equation That Can Change into Successive Integral |
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| SUN Changjun.The Solution of n Step Linear Differential Equation That Can Change into Successive Integral[J].Journal of Chengdu University (Natural Science),2005,24(3):161-163. |
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| Authors: | SUN Changjun |
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| Abstract: | Through linear differential equation of xy~((n))+ny~(n-1)=f(x) changing into the linear differential equation of successive integral,I have found out its untied form by giving strict proof and popularize it to get the untied form of xy~((n))+(x+n)y~((n-1))+(n-1)y~((n-2))=f(x). |
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| Keywords: | successive integral linear differential equation solution |
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