| 用初等积分法求方程y"+py'+qy=f(x)的特解 |
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| 引用本文： | 陈利娅,李先富.用初等积分法求方程y"+py'+qy=f(x)的特解[J].四川理工学院学报(自然科学版),2005,18(3):88-90. |
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| 作者姓名： | 陈利娅 李先富 |
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| 作者单位： | 西华大学数学系,四川,成都,610039;西南科技大学理学院,四川,绵阳,621002 |
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| 摘 要： | 二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的,但求解过程都比较繁琐。文章用初等积分法直接来求其特解,该方法简单、方便,且适用范围广。
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| 关 键 词： | 二阶常系数线性微分方程 特解 初等积分法 |
| 文章编号： | 1673-1549(2005)03-0088-03 |
| 修稿时间： | 2005年6月13日 |
Special Solution of Equation y"+py'+qy =f(x) by the Method of Elementary Integral |
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| CHEN Li-ya,LI Xian-fu.Special Solution of Equation y"+py'+qy =f(x) by the Method of Elementary Integral[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2005,18(3):88-90. |
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| Authors: | CHEN Li-ya LI Xian-fu |
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| Institution: | CHEN Li-ya1,LI Xian-fu2 |
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| Abstract: | In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it’s process is too complicated. This article directly get it’s special solution by the method of elementary integrals, and the method is simple and has wider range. |
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| Keywords: | non-homogeneous linear equation of constant coefficient of the second order special solution method of elementary integrals |
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