陇东学院学报
隴東學院學報
롱동학원학보
Journai of Longdong University
2015年
5期
1-4
,共4页
常系数%线性%微分方程组%矩阵消元法%D矩阵
常繫數%線性%微分方程組%矩陣消元法%D矩陣
상계수%선성%미분방정조%구진소원법%D구진
constant coefficients%linear%systems of differential equations%matrix method of elimination%D-matrix
运用矩阵消元法求解常系数线性微分方程组，包括常数变易法、待定系数法及拉普拉斯变换法等。如同求解线性代数方程组那样，把线性代数中的矩阵消元法解方程组的思想运用到常系数线性微分方程组中，用初等行变换化 D矩阵为与之等价的阶梯形矩阵，使求解变得灵活和简便。
運用矩陣消元法求解常繫數線性微分方程組，包括常數變易法、待定繫數法及拉普拉斯變換法等。如同求解線性代數方程組那樣，把線性代數中的矩陣消元法解方程組的思想運用到常繫數線性微分方程組中，用初等行變換化 D矩陣為與之等價的階梯形矩陣，使求解變得靈活和簡便。
운용구진소원법구해상계수선성미분방정조，포괄상수변역법、대정계수법급랍보랍사변환법등。여동구해선성대수방정조나양，파선성대수중적구진소원법해방정조적사상운용도상계수선성미분방정조중，용초등행변환화 D구진위여지등개적계제형구진，사구해변득령활화간편。
This study applies matrix fire element method including constant variation method ,pending coefficient method and Laplace transform method to solving constant coefficient linear differential equations .As to treat with a linear system of algebraic equations ,the matrix of linear algebra in the fire element method is taken into the con-sideration of solving constant coefficient linear differential equations/To be precisely ,the elementary row transfor-mation of matrix D is considered as the equivalent in the form of a ladder matrix ,which makes the solutions flexi-ble and convenient.
