高阶常系数非齐次线性微分方程的新解法

A new method for solving high order non-homogeneous linear differential equation with constant coefficients

通过引入常系数线性积分算子,得到了求解常系数非齐次线性微分方程的新方法,拓宽了教材中二阶常系数线性微分方程的求解范围,给出了更高阶的常系数线性微分方程的一般解法,将复杂问题简单化.通过例题验证了方法的可行性.

By introducing constant coefficient linear integral operator,a new method for solving higher order non-homogeneous linear differential equation with constant coefficients was obtained.It widens the solution range of second-order linear differential equations with constant coefficients in the textbook,gives the general solution of higher order linear differential equations with constant coefficients and simplifies complex problems.Finally,the feasibility of the method is verified by an example.