I have asked to solve the linear non-homogeneous equation.
$\displaystyle A(n) = 8A(n-2) -16A(n-4) +F(n) , where F(n) = N^2*4^n$
All these n are subscript of A.
I am not sure how to resolve that F(n).
Can anyone help me.
I have asked to solve the linear non-homogeneous equation.
$\displaystyle A(n) = 8A(n-2) -16A(n-4) +F(n) , where F(n) = N^2*4^n$
All these n are subscript of A.
I am not sure how to resolve that F(n).
Can anyone help me.
If $\displaystyle F(n)=a^nP_m(n)$ where $\displaystyle P_m(n)$ is a polynomial of degree $\displaystyle m$, and $\displaystyle a$ is not a root of the characteristic equation, then a particular solution for the complete is $\displaystyle x(n)=a^nQ_m(n)$, where $\displaystyle Q_m(n)$ is a polynomial of degree $\displaystyle m$. If $\displaystyle a$ is a root of the characteristic equation with multiplicity $\displaystyle s$ then, $\displaystyle x(n)=a^mn^sQ_m(n)$.
Regards.