| 一类一阶变系数高次微分方程的通解 |
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| 引用本文： | 毛一波,陈道兰. 一类一阶变系数高次微分方程的通解[J]. 渝西学院学报(自然科学版), 2010, 0(1): 8-11 |
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| 作者姓名： | 毛一波 陈道兰 |
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| 作者单位： | 重庆文理学院数学与统计学院;重庆文理学院图书馆; |
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| 基金项目： | 重庆市教委科研项目(KJ051203); 重庆文理学院科研项目(Y2006SJ85) |
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| 摘 要： | 通过对一类微分方程通解的讨论，提出了独立通解的概念，得到了一阶变系数高次齐次微分方程的独立通解的个数，给出了其通解表达式，并计算了一阶变系数高次非齐次微分方程右端为特殊结构时的一个特解．
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| 关 键 词： | 一阶高次 变系数 微分方程 独立通解 |
On the general solution of a class of differential equations of one order with variable coefficients higher degree |
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| MAO Yi-bo,CHEN Dao-lanH. On the general solution of a class of differential equations of one order with variable coefficients higher degree[J]. , 2010, 0(1): 8-11 |
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| Authors: | MAO Yi-bo CHEN Dao-lanH |
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| Affiliation: | MAO Yi-bo1,CHEN Dao-lan2(1.School of Mathematics , Statistics,Chongqing University of Arts , Sciences,Yongchuan Chongqing 402160,China,2.Library,China)H |
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| Abstract: | This paper presents a class of differential equations of one order with variable coefficients higher degree,and gives their independent general solution by characteristic equation method.Finally,a special solution of heterogeneous differential equations of one order with variable coefficients higher degree is obtained. |
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| Keywords: | one order with higher degree variable coefficients differential equations independent general solution |
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