采用降阶法和欧拉方法对一类二阶线性微分方程组的求解进行了研究,并给出了当系数矩阵的特征根为三种不同情况（互异、共轭、二重根）时微分方程组的通解公式,并通过算例验证了通解的正确性.%Research the solution on one kind of the second order linear differential equations by the methods of reducing order and Euler＇s eigenvalues.The general solution formulas of the differential equations are obtained when the characteristic root of coefficient matrix is different,conjugate or duplicate.Through some examples,the general solution formulas are validated.
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