A class of higher-order linear ordinary differential equations with variable coefficients are studied by means of the order-increasing methods.The general solutions of homogeneous equations are given and the undetermined particular solutions of non-homogeneous equations are discussed.%利用升阶法研究了一类高阶线性变系数常微分方程,给出了齐次方程的通解公式,并讨论了非齐次方程待定的特解.
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