| 二次方三项式线性齐次微分方程的解法 |
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| 引用本文： | 孙长军.二次方三项式线性齐次微分方程的解法[J].荆门职业技术学院学报,2006,21(3):59-61. |
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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数学教研室 江苏连云港222006 |
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| 摘 要： | 通过把线性齐次微分方程x2y(n) 2nxy(n-1) n(n-1)y(n-2)=0化为可逐次积分的线性微分方程,找出了它的通解形式,给出了严格的证明,并将其推广,得到x2y(n) (x2 2nx)y(n-1) 2(n-1)x n(n-1)]y(n-2) (n-1)(n-2)y(n-3)=0的通解.
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| 关 键 词： | 逐次积分 线性齐次微分方程 解法 |
| 文章编号： | 1008-4657（2006）03-0059-03 |
| 收稿时间： | 2005-06-14 |
| 修稿时间： | 2005年6月14日 |
A Solution to Three Types Continuance Linear Even Differential Equation of Two Times Complete Cubic |
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| SUN Chang-jun.A Solution to Three Types Continuance Linear Even Differential Equation of Two Times Complete Cubic[J].Journal of Jingmen Vocational Technical College,2006,21(3):59-61. |
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| Authors: | SUN Chang-jun |
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| Abstract: | By transforming linear even differential equation into the linear differential equation of successive integral,we have found out that,with strict proof,we can popularize it and get to untie. |
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| Keywords: | successive integral linear even differential equation solution |
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