二阶线性常系数非齐次微分方程特积分的求解新方法

A New Method for Particular Integral of Second-order Linear Differential Equation with Constant Coefficients

就求解二阶线性常系数非齐次微分方程的关键步骤求特积分给出了一种新方法,该方法较之传统方法更简便.同时,给出了计算特积分中多项式部分系数的公式;对特积分类型给出了新的结论,并指出了传统教材中的不妥之处.

The key to solve the second-order linear differential equation with constant coefficients is to find the particular integral. A new method for getting particular integral is proposed, which is much simpler than traditional ways, The formulas to calculate coefficients of polynomial are given New conclusions of particular integral types are put forward and the deficiency in traditional teaching materials is pointed out.