利用算子法求解二阶常系数非齐次线性微分方程 |
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引用本文: | 杨逢建,李炜,吴东庆,张超龙.利用算子法求解二阶常系数非齐次线性微分方程[J].湖南农业大学学报(自然科学版),2009,35(Z1). |
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作者姓名: | 杨逢建 李炜 吴东庆 张超龙 |
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作者单位: | 仲恺农业工程学院,计算科学系,广东,广州,510225 |
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摘 要: | 讨论了利用算子法求解常系数非齐次线性微分方程,相对于传统高等数学中惯用的待定系数法和工程中常用的Laplace变换法,该方法具有计算非常简单的优点.
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关 键 词: | 算子 微分方程 非齐次 |
Nonhomogeneous linear ordinary differential equation with constant coefficients solving based on operator method |
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Abstract: | This paper discus the solute methods of nonhomogeneous linear ordinary differential equation with constant coefficients. Based on operator method, we get the simple method to solute this equation. This method is superior to the traditional undetermined coefficient method and laplace transform method. |
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Keywords: | operator ordinary differential equation nonhomogeneous |
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