简化一类常微分方程特解的方法研究

An investigation on method of predigesting a kind of ordinary differential equation

利用欧拉公式对 y(n) + p1 y(n - 1 ) +… + pn- 1 y′ + pny =eλxRm(x)coswx一类的线性非齐次常微分方程及其特解形式进行了研究 ,给出了简明易记的公式 ,从而有效地改进了待定系数法 ,大大减少了计算量 .

Devoted to the investigation on such linear nonhomogeneous ordinary differential equation and it′s particular solution form,Presenting a concise and easy to memorise formular,and thus improving on the method of undetermined coefficient effectively and decreasing the computation quantity greatly as well.