Improvement of the Method of Comparing Coefficients Based on Constant Coefficients Non-Homogeneous Linear Differential Equations

Abstract

Consider three different types of non-homogeneous term for constant coefficient non-homogeneous linear differential equation, set the corresponding special solution, then the part of the function containing the coefficients to be determined in the special solution is studied, the equation that the function satisfies is obtained. By using the comparative coefficient method to find the special solution, and three conclusions are given. This method improves the original method of comparing coefficient, the calculation of the coefficients to be determined in the special solution is considerably simplified.