| 一类常系数非齐次微分方程的特解 |
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| 引用本文： | 薛文娟.一类常系数非齐次微分方程的特解[J].数学学习,2011(3):45-46. |
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| 作者姓名： | 薛文娟 |
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| 作者单位： | 福建农林大学计算机与信息学院,福建福州350002 |
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| 摘 要： | 针对非齐次自由项分别为(a0+a1x)cosλx,(a0+a1x)sinλr,和(ao+a1x)eλxi的三种二阶常系数非齐次线性微分方程,利用变换和升阶法推导出它们的特解表达式.
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| 关 键 词： | 微分方程 特征根 特解 |
Particular Solution of a Nonlinear Differential Equation with Constant Coefficients |
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| XUE Wen-juan.Particular Solution of a Nonlinear Differential Equation with Constant Coefficients[J].Studies In College Mathematics,2011(3):45-46. |
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| Authors: | XUE Wen-juan |
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| Institution: | XUE Wen-juan (School of Computer and Information Technology, Fujian A_grieulture and Forestry University, Fuzhou 350002, PRC) |
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| Abstract: | In this paper, methods of transformation and elevation are used to obtain particular solution of the second-order nonlinear differential equation y″＋py′＋qy=（a0＋a1x） e ^λ xi. |
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| Keywords: | differential equation characteristic root particular solution |
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