Solve the functional equation y(t+2)- Sy(t+1) + 6y(t)=0 If y(0)=5 and y(1)=1 find y(2) and y(3)
How?
what is that unknown constant S doing there?
Anyway, this looks like a finite difference equation, which you can read about at
http://eqworld.ipmnet.ru/en/solutions/fe/fe-toc1.htm
equation 1.2-1