【摘要】 对于常系数非齐线性微分方程组(dX)/(dt)=AX+eαt sum (Bktk) from k=0 to m,当n级方阵A具有s≥1重特征根α时,本文给出了其特解X(t)的结构定理和计算方法,将求特解X(t)的积分运算转化为简单的代数运算,解决了利用计算机求特解X(t)的计算问题.更多还原

【Abstract】 For the system of one order linear inhomogeneous differential equations with constant coefficient (dX)/(dt)=AX+eαt sum (Bktk) from k=0 to m,we give the structure theorem and the calculating method of its special solution when n order square matrix A has s≥1 repeated characteristic root.We turn the integral operation of seeking the special solution into the algebraic operation and solve the calculating problem of seeking special solution by computer.更多还原