for constants b and c

- Nov 25th 2010, 04:26 AMoleholehHow do i find an explicit formula for this recursive linear function?
for constants b and c

- Nov 25th 2010, 05:11 AMchisigma
We can start with the general case of a first order linear recursive equation...

(1)

With a little of patience You find that the solution of (1) is...

(2)

... where...

(3)

If and the (2) becomes...

(4)

Kind regards