一类一阶变系数高次微分方程的通解

On the general solution of a class of differential equations of one order with variable coefficients higher degree

通过对一类微分方程通解的讨论,提出了独立通解的概念,得到了一阶变系数高次齐次微分方程的独立通解的个数,给出了其通解表达式,并计算了一阶变系数高次非齐次微分方程右端为特殊结构时的一个特解.

This paper presents a class of differential equations of one order with variable coefficients higher degree, and gives their independent general solution by characteristic equation method. Finally, a special solution of heterogeneous differential equations of one order with variable coefficients higher degree is obtained.