| 求二阶线性常系数非齐次微分方程通解的一种新方法 |
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| 引用本文： | 邢春峰,袁安锋,王朝旺. 求二阶线性常系数非齐次微分方程通解的一种新方法[J]. 北京联合大学学报(自然科学版), 2009, 23(3): 73-75 |
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| 作者姓名： | 邢春峰 袁安锋 王朝旺 |
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| 作者单位： | 北京联合大学,基础部,北京,100101;北京联合大学,基础部,北京,100101;北京联合大学,基础部,北京,100101 |
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| 摘 要： | 为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解,这里使用常数变易法,在先求得二阶常系数线性齐次微分方程一个特解的情况下,将二阶常系数线性非齐次微分方程转化为可降阶的微分方程,从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式,并且将通解公式进行了推广,实例证明该方法是可行的.
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| 关 键 词： | 二阶常系数非齐次线性微分方程 通解 特解 |
The Formula of General Solution for Second Order Linear Differential Equation with Constant Coefficients |
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| XING Chun-feng,YUAN An-feng,WANG Chao-wang. The Formula of General Solution for Second Order Linear Differential Equation with Constant Coefficients[J]. Journal of Beijing Union University, 2009, 23(3): 73-75 |
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| Authors: | XING Chun-feng YUAN An-feng WANG Chao-wang |
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| Affiliation: | XING Chun-feng,YUAN An-feng,WANG Chao-wang(Basic Courses Department of Beijing Union University,Beijing 100101,China) |
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| Abstract: | In order to obtain more general solution of second order linear differential equation with constant coefficients,which is important in theory and practice,on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant,the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation wi... |
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| Keywords: | second order linear differential equation with constant coefficients general solution particular solution |
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