T(K)=5T(K-1)-4T(K-2) with initial condition T(0)=2 and T(1)=3 determine T(10).
using recursion i got answer,but can anyone explain above method.
it is already well explained . I think you should go through some theory about it then you will get the solution.
First how to generate characteristic equation :-
some theory about it:-
MIT video lecture Reference :-
You can also kenneth rosen book for this as well.
Part 2 of the answer.
Hope this may help.
Characteristic root Technique.