| 一类二阶常微分方程组求解的简便方法 |
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| 引用本文： | 吴幼明,杨灵娥,冯思捷. 一类二阶常微分方程组求解的简便方法[J]. 佛山科学技术学院学报(自然科学版), 2009, 27(1): 24-27 |
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| 作者姓名： | 吴幼明 杨灵娥 冯思捷 |
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| 作者单位： | 佛山科学技术学院信息科学与数学系,广东,佛山,528000 |
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| 摘 要： | 采用变量代换、降阶和欧拉方法,给出了一类含未知函数一阶导数项的二阶常系数非齐次线性微分方程组的通解,并通过算例验证了通解公式的正确性。
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| 关 键 词： | 微分方程 通解公式 变量代换法 |
Simple solution to a kind of second order ordinary differential equations |
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| WU You-ming,YANG Lin-ge,FENG Si-jie. Simple solution to a kind of second order ordinary differential equations[J]. Journal of Foshan University(Natural Science Edition), 2009, 27(1): 24-27 |
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| Authors: | WU You-ming YANG Lin-ge FENG Si-jie |
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| Affiliation: | Department of Information Science and Mathematics;Foshan University;Foshan 528000;China |
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| Abstract: | By the methods of variable substitution,reducing order and Euler's eigenvalue, the general solution formula to one kind of second order linear non-homogeneous differential equations with constant coefficient containing order 1 derivative item of unkown function is obtained.Through verification,the general solution formulae are valid. |
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| Keywords: | differential equation general solution formula variable substitution method |
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