高阶常系数非齐次线性微分方程的解法

Solving Higher Order Non-homogeneous LDE with Constant Coefficients

利用高阶常系数齐次线性微分方程的特征根,可将一般的高阶常系数非齐次线性微分方程的求解问题归结为多个一阶线性微分方程的求解问题,实例说明该方法的应用.

Using the characteristic values of a higher order homogeneous linear differential equation with constant coefficients, we can transfer the higher order non-homogeneous linear differential equation with constant coefficients into a system of first order non-homogeneous linear differential equations with constant coefficients. Examples are provided to illustrate the above approach.