1. Differential operator method to solve special solutions of linear differential equations with constant coefficients
Reference material: The most clearly explained differential operator method on the entire Internet!
1.1 The idea of differential operator method
1.2 f ( x ) = e α x f(x)=e^{\alpha x} f(x)=eαx type
1.3 f ( x ) = sin β x f(x)=\sin\beta x f(x)=sinβx 或 f ( x ) = cos β x f(x)=\cos\beta x f(x)=cosβ x type
1.4 f ( x ) = e α x sin β xf(x)=e^{\alpha x}\sin\beta xf(x)=eαxsinβ x或f ( x ) = e α x cos β xf(x)=e^{\alpha x}\cos\beta xf(x)=eαxcosβ x type
1.5 f ( x ) = P n ( x ) f(x)=P_n(x) f(x)=Pn( x ) type
1.6 f ( x ) = P n ( x ) e α x f(x)=P_n(x)e^{\alpha x} f(x)=Pn( x ) eαx type
1.7 f ( x ) = P n ( x ) sin β x f(x)=P_n(x)\sin\beta x f(x)=Pn(x)sinβx 或 f ( x ) = P n ( x ) cos β x f(x)=P_n(x)\cos\beta x f(x)=Pn(x)cosβ x type
1.8 f ( x ) = P n ( x ) e α x sin β xf(x)=P_n(x)e^{\alpha x}\sin\beta xf(x)=Pn( x ) eαxsinβ x或f ( x ) = P n ( x ) e α x cos β xf(x)=P_n(x)e^{\alpha x}\cos\beta xf(x)=Pn( x ) eαxcosβ x type
1.8 Summary
