| 二阶常系数线性非齐次微分方程的通解 |
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| 引用本文： | 张金战.二阶常系数线性非齐次微分方程的通解[J].达县师范高等专科学校学报,2010,20(2):8-9. |
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| 作者姓名： | 张金战 |
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| 作者单位： | 陇南师范高等专科学校数学系,甘肃成县742500 |
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| 摘 要： | 在已知二阶常系数齐次微分方程y″＋py’＋gy=0的一个特解的条件下，讨论了求二阶常系数线性非齐次微分方程y″＋py’＋qy=f（x）的一个特解的方法，从而根据齐次方程的特征根的不同情形给出了非齐次微分方程的通解公式．
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| 关 键 词： | 线性微分方程 特解 通解 |
A General Solution to Order 2 Constant Coefficients Non-homogeneous Linear Differential Equation |
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| ZHANG Jin-zhan.A General Solution to Order 2 Constant Coefficients Non-homogeneous Linear Differential Equation[J].Journal of Daxian Teachers College,2010,20(2):8-9. |
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| Authors: | ZHANG Jin-zhan |
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| Institution: | Mathematics Department of Longnan Teachers' College;Chengxian Gansu 742500;China |
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| Abstract: | On the basis of a special solution to order 2 constant coefficient homogeneous differential equation y″ ＋ py＇ ＋ qy = 0, a special solution is discussed to order 2 constant coefficient non - homogeneous linear differential equation of y″ ＋ py＇ ＋. qy = f（x）. Following that, the formula of general solution to non - homogeneous differential equation is given. |
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| Keywords: | Linear differential equation general solution special solution |
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