合肥学院学报：自然科学版
閤肥學院學報：自然科學版
합비학원학보：자연과학판
Journal of Hefei University :Natural Sciences
2012年
2期
9-16
,共8页
王瑀%杜佳%肖箭%周久红
王瑀%杜佳%肖箭%週久紅
왕우%두가%초전%주구홍
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
高階常繫數線性微分方程%嚮量的內積%常繫數的複線性微分方程
고계상계수선성미분방정%향량적내적%상계수적복선성미분방정
the higher order linear differential equation with constant coefficients%the inner product of vectors%complex linear differential equation with constant coefficients
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.
文章利用高階常繫數線性微分方程與一階常繫數線性微分方程組之間的關繫,引入嚮量的內積,運用其運算性質,從而得到瞭求解高階常繫數線性微分方程的新公式.最後通過實例,說明瞭這箇新公式可以普遍地應用于高階常繫數線性微分方程的求解.
문장이용고계상계수선성미분방정여일계상계수선성미분방정조지간적관계,인입향량적내적,운용기운산성질,종이득도료구해고계상계수선성미분방정적신공식.최후통과실례,설명료저개신공식가이보편지응용우고계상계수선성미분방정적구해.
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.
