| 二阶变系数线性微分方程的求解 |
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| 引用本文： | 张卿.二阶变系数线性微分方程的求解[J].衡水学院学报,2007,9(1):63-64. |
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| 作者姓名： | 张卿 |
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| 作者单位： | 衡水学院,数学与计算机科学系,河北,衡水053000 |
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| 摘 要： | 二阶线性齐次微分方程在微分方程理论中占有重要位置,但二阶变系数线性微分方程却没有一般的求解方法,给出了几种通过变量变换将二阶变系数线性微分方程化为二阶常系数的线性微分方程的充分条件.
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| 关 键 词： | 线性 非线性 微分方程 |
| 文章编号： | 1673-2065（2007）01-0063-02 |
| 收稿时间： | 2006-08-15 |
| 修稿时间： | 2006年8月15日 |
A Solution to Second Order Linear Differential Equation with Variable Coefficients |
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| ZHANG Qing.A Solution to Second Order Linear Differential Equation with Variable Coefficients[J].Journal of Hengshui University,2007,9(1):63-64. |
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| Authors: | ZHANG Qing |
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| Abstract: | It is important in the principle of differential equation about second order linear homogeneous differential equation,while it hasn't a normal solution to second linear differential equation with variable coefficients.With variable substitution,several kinds of sufficient conditions are given to second order linear differential equation with which variable coefficients change into invariable coefficients. |
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| Keywords: | linear nonlinear differential equation |
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