| 一类二阶变系数线性微分方程的可积定理及其应用 |
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| 引用本文： | 敏志奇.一类二阶变系数线性微分方程的可积定理及其应用[J].甘肃高师学报,2010,15(2):6-7. |
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| 作者姓名： | 敏志奇 |
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| 作者单位： | 甘肃民族师范学院数学系,甘肃合作,747000 |
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| 摘 要： | 在文1]与文2]的启示下,对微分方程y″+a(x)y′+b(x)y=(fx)通解的求法作了进一步探讨,并给出了只与方程系数a(x)与b(x)相关的求解公式,应用此公式求有关的方程通解,其过程十分简捷.
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| 关 键 词： | 二阶变系数线性微分方程 通解 |
Integrable Therom of One Class Second-order Change Coefficient Linear Differential Equations and It's Application |
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| MIN Zhi-qi.Integrable Therom of One Class Second-order Change Coefficient Linear Differential Equations and It's Application[J].Journal of Gansu Normal College,2010,15(2):6-7. |
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| Authors: | MIN Zhi-qi |
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| Institution: | MIN Zhi-qi(Department of Mathematics,Gansu Normal University for Nationalities,Hezuo Gansu 747000) |
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| Abstract: | According to apocalypse from papers 1] and 2], in this paper, the author considers the method of finding the general solution of the differential equations Y″a（x）y＇＋b（x）y=f（x） and gives formula of the general solution only with coefficient b （x） and a （x） of the differential equations. The process of using the formula to find the general solution of such differential equations is forthright. |
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| Keywords: | second-order change coefficient linear differential equations general solution |
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