| 复常系数线性微分方程的解法 |
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| 引用本文： | 汤光宋.复常系数线性微分方程的解法[J].湘南学院学报,1997(1). |
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| 作者姓名： | 汤光宋 |
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| 作者单位： | 湖北武汉市江汉大学数学系!教授 |
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| 摘 要： | 文1]仅给出了y″+(a+bi)y′+(c+di)y=0的通解公式,本文先提出一类高阶复系数齐次方程的通解公式。进而利用待定系数法,得到了二阶复常系数线性非齐次方程特解的简捷求法,即直接利用公式写出相应方程的特解。
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| 关 键 词： | 复常系数 线性微分方程 通解公式 特解公式 |
A Method to Solve Linear Differential Equation with Complex Coefficients |
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| Tang GuangSong.A Method to Solve Linear Differential Equation with Complex Coefficients[J].Journal of Xiangnan University,1997(1). |
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| Authors: | Tang GuangSong |
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| Abstract: | In the literature1],the author has only obtained a formula of general solution of equation:y"+(a +bi)y'+ (c+di )y= 0In this paper,first we give a general solution formula for a class of higher-order homogeneous differential equation with complex coefficients.Further,by employ method of undetermined coefficient,We have a simple and direct method to obtain an especial solution for two-order linear nonhomogeneous differential equation. |
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| Keywords: | Complex coefficient linear differential equation general solution especial solution |
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