| 两类变系数二阶线性齐次微分方程通解的构造 |
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| 引用本文： | 邓勇.两类变系数二阶线性齐次微分方程通解的构造[J].西南师范大学学报(自然科学版),2011,36(6):1-5. |
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| 作者姓名： | 邓勇 |
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| 作者单位： | 喀什师范学院数学系; |
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| 基金项目： | 新疆维吾尔自治区高校科研计划重点项目(XJEDU2008I31) |
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| 摘 要： | 在假设变系数二阶线性齐次微分方程两个线性无关解的比值已知的前提下,从这个比值入手去倒推变系数二阶线性齐次微分方程的基本解组,从而得到两类变系数二阶线性齐次微分方程通解的非级数求法.
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| 关 键 词： | 变系数 线性齐次 微分方程 基本解组 判别式 |
The General Solution to Construct on Two Classes of Second Order Linear Homogeneous Differential Equation for Variable Coefficient |
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| DENG Yong.The General Solution to Construct on Two Classes of Second Order Linear Homogeneous Differential Equation for Variable Coefficient[J].Journal of Southwest China Normal University(Natural Science),2011,36(6):1-5. |
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| Authors: | DENG Yong |
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| Institution: | DENG Yong Department of Mathematics,Kashgar Teachers College,Kashgar Xinjiang 844006,China |
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| Abstract: | Assume that the ratio of two linearly independent solutions is known on variable coefficient linear homogeneous second-order differential equations.Then the fundamental solutions for variable coefficient second-order linear homogeneous differential equations are given by the reverse deduction method.Hence,the non-series solutions on two types of variable coefficient second-order linear homogeneous differential equations are obtained. |
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| Keywords: | variable coefficient linear homogeneous differential equation system of fundamental solutions discriminant |
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