| 逐次积分法解一类齐次线性微分方程 |
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| 引用本文： | 蒋淮阳.逐次积分法解一类齐次线性微分方程[J].和田师范专科学校学报,2005,25(4):201-201. |
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| 作者姓名： | 蒋淮阳 |
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| 作者单位： | 江苏财经职业技术学院,江苏淮安市,223001 |
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| 摘 要： | 通过把线性齐次微分方程xy^(n) ny^(n-1)=0化为可逐次积分的线性齐次微分方程，找了它通解的形式，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)=0的通解。
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| 关 键 词： | 微分方程 线性 积分法 通解 证明 |
The Solution of n step even Linear Differential Equation that is a kind of can Change into Successive integral |
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| JIANG Huai-yang.The Solution of n step even Linear Differential Equation that is a kind of can Change into Successive integral[J].Journal of Hotan Teachers College,2005,25(4):201-201. |
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| Authors: | JIANG Huai-yang |
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| Abstract: | By transforming even linear differential equation xy(n) + ny(n-1)=0 change into the linear differential equation of successive integral, have found out it to know the form that untied , have given strict proof, and popularize it get know of the (n) (n-1) (n-2) to untie. |
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| Keywords: | successive integral even linear differential equation solution |
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