| 一类二阶变系数线性齐次微分方程的通解 |
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| 引用本文： | 张玉兰,曹亚萍.一类二阶变系数线性齐次微分方程的通解[J].镇江高专学报,2014(1):45-47. |
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| 作者姓名： | 张玉兰 曹亚萍 |
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| 作者单位： | 南京铁道职业技术学院社科部,江苏南京210015 |
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| 摘 要： | 结合文献1]中的结论（见引理3）进行推导，得出方程y″＋P（x）y′＋Q（x）y=f（x）所对应的齐次方程相对应的Riccati方程特解的求法，在此基础上，得出方程y″＋P（x）y′＋Q（x）y=0对应的通解。
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| 关 键 词： | 二阶变系数微分方程 Riccati方程 特解 通解 |
General solution to a class of second order variable coefficient linear homogeneous differential equation |
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| ZHANG Yu-lan,CAO Ya-ping.General solution to a class of second order variable coefficient linear homogeneous differential equation[J].Journal of Zhenjiang College,2014(1):45-47. |
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| Authors: | ZHANG Yu-lan CAO Ya-ping |
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| Institution: | (Social Science Department, Nanjing institute of Railway Technology, Nanjing 210015, China) |
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| Abstract: | This thesis focuses on the general solution to a class of second order variable coefficient linear homogene- ous differential equation. Combining a conclusion in Document 1 ] （ see Lemma 3） deduction is made to obtain a particular solution method to the corresponding Riccati equation in informity with the homogeneous equation , on which basis, a corresponding general solution to the equation is achieved. |
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| Keywords: | second ordinary differential equations Riccati equation particular solution general solution |
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