特解法求解无界弦的受迫振动方程

The Special Solution of Infinite String of Forced Vibration Equation

一维无界的波动方程,当不考虑外力时典,可通过达朗贝尔公式直接求解。当考虑外力时,不能直接运用达朗贝尔公式求解,但是可以通过叠加原理将方程齐次化,进而求解。特解法能将无界弦的受迫振动方程转化成无界弦的自由振动方程,进而可通过达朗贝尔公式,快速得到结果。

A one-dimensional wave equation with unbounded, when not considering the external force, can be directly solved by D＇ Alembert formula, When considering the external force, D＇ Alembert formula can not be used directly, but it can be solved by the superposition principle,and then solved.the special solution of the infinite string of forced vibration equation is transformed into the free vibration equation of infinite string, and then by the Darren Bell formula, fast results.