【摘要】 对于非齐次项为多项式,指数函数,正(余)弦函数,或它们的乘积形式的常系数线性常微分方程,提出了求其特解的有限递推法.它方法统一,计算简洁,便于编程,能解决高阶问题,能在有限步内得出方程的解析特解,因而优于目前广泛采用的待定系数法.更多还原

【Abstract】 To find a particular solution of a linear ordinary differential equation with constant coefficients,in which,the nonhomogeneous part f(x) is a polynormial;an exponential function;a sine or cosine function or a production of them,a finite recursive method is presented in this paper.It is better than the current undetermined coefficient method since it is a uniform method for different cases of f(x);can solve high order problems;is easy for computing and can get the analytic particular solution in finite steps.更多还原