关于一类微分方程幂级数解法的反问题

On Inverse Problems of the Power Series Solutionto Ordinary Differential Equations

对于给定的收敛区间内的幂级数（有理分式型系数的麦克劳林级数），建立了相应的微分方程初值问题，指明了其解即是给定幂级数的和函数。

The initial-value problems of differential equation are set up for the givenpower series over its convergence interval which has Maclaurin series with coefficient of ratinal fraction types,and its special solution is just the sum function of this power series is demonstrated