Question

Hi, I would like to request help on the following difference equation problem.

What is a solution of the first order difference equation y(k+1) = y(k) + 5?

Answer 1

This is just a recurrence relation. There is no explicit solution if you don't have a known value (i.e. y(0)=y_0).

The solution should be of the form y(k)=y_0+5k

Answer 2

You know this because the recurrence relation is arithmetic in nature.

Answer 3

Thank you Hankymei very much!