引用本文: | 胡劲松,李先富,郑克龙.一种二阶变系数线性微分方程的求解方法(J/M/D/N,J:杂志,M:书,D:论文,N:报纸).期刊名称,2005,(3): |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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摘要: |
在知道二阶变系数线性齐次微分方程一个特解的情况下,通过常数变易法,将二阶变系数线性非齐次微分方程转化为一阶线性微分方程,从而给出运算量较小的二阶变系数线性非齐次微分方程通解的一般公式,也给出了用刘维尔定理求解二阶变系数线性齐次微分方程的一个理论依据. |
关键词: 二阶变系数线性微分方程,常数变易法,通解 |
DOI: |
分类号:O175.1 O175.25 |
基金项目: |
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One method for solving the various coefficient linear differential equation |
HU Jin-song~1 LI Xian-fu~2 ZENG Ke-long~2
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Abstract: |
On the basis of knowing a special solution of the various coefficient linear differential equation of order 2 and by using the method of variation of constant, the various coefficient linear differential equation of order 2 is transferred to the linear di |
Key words: various coefficient linear differential equation,variation of constants method,general solution |