线性微分方程组可以应用线性代数中的方法求解。
Systems of linear differential equations can be handled by using the methods of linear algebra.
用代数动力学方法求得了用泰勒级数表示的局域收敛的常微分方程的精确解。
By algebraic dynamical method, the exact analytical solutions of the ordinary differential equations are obtained in terms of Taylor series with local convergent radius.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
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