# Solution of a recursion relation

Hi there!

I wonder if there's an explicit solution to a recursion relation of the form

$$\alpha_{n+2} = A \alpha_{n+1} + B \alpha_n + C^n$$ .

The solution of this recursion relation without $C^n$ can easily be computed. I haven't found anything on the net.

Thanks!!

tiny-tim
Homework Helper
Hi there!

I wonder if there's an explicit solution to a recursion relation of the form

αn+2 = A αn+1 + B αn + Cn .

The solution of this recursion relation without Cn can easily be computed. I haven't found anything on the net.

Thanks!!

Hi ledamage!

You need to find a particular solution, exactly as if this was a differential equation.