摘要
文章利用高阶常系数线性微分方程与一阶常系数线性微分方程组之间的关系,引入向量的内积,运用其运算性质,从而得到了求解高阶常系数线性微分方程的新公式.最后通过实例,说明了这个新公式可以普遍地应用于高阶常系数线性微分方程的求解.
This paper studies the problem of solving higher order linear differential equation with constant coefficients.By using the relationship between the higher order linear differential equation with constant coefficients and linear differential equations of constant coefficients with one order,introducing the inner product of vectors,and using its operation properties,then we obtain the new formula of the higher order linear differential equation with constant coefficients.Finally,by analyzing typical examples,we illustrate the formula can be applied generally.
出处
《合肥学院学报（自然科学版）》
2012年第2期9-16,共8页
Journal of Hefei University :Natural Sciences
基金
安徽省教育厅自然科学基金项目(KJ2007A003)
安徽省高校省级优秀青年人才基金项目(2011SQRL126)
安徽大学"211"工程学术创新团队项目(KJTD002B)
安徽大学研究生创新项目资助
关键词
高阶常系数线性微分方程
向量的内积
常系数的复线性微分方程
the higher order linear differential equation with constant coefficients
the inner product of vectors
complex linear differential equation with constant coefficients
