摘要
本文导出了二阶常系数线性微分方程的解所满足的一个关系式,指数、正弦、余弦、双曲正弦及双曲余弦的加法定理都是这个关系式的特例;最后将此关系推广到n阶情形。
A relation satisfied by solutions to a linear differential equation of the second orderwith constant coefficients is derived. Additive theorem on exponentials, sines and cosines, hyperbolic sines and hyperbolic cosines are proved to be special cases of the said relation. The relation is also generalized about the case of differential equations of the nth order.
