【摘要】 分析了在求二阶常系数线性常微分方程y"+py’+qy=P_m（x）e^axcos bx;y"+py’+qy=P_m（x）e^axsin bx的特解时;采用有限递推法或待定系数法的各自计算复杂性.证明了在求上述方程特解时,有限递推法在计算复杂性上优于待定系数法.更多还原

【Abstract】 In this paper,a comparison of the computing complexity on finding the particular solution of y " + py’ + qy = P_m（x）e^axcos bx or y" + py’ + qy = P_m（x）e^axsin bx using the finite recurrence method and the method of undetermined coefficients is given.It is shown that from the viewpoint of the computing complexity,the finite recurrence method is better than the method of undetermined coefficients on solving the problem above.更多还原