Discrete (Difierence) Equations - School of Mathematics

m-th order Our result may be generalised to homogeneous difierence equations of any order: amyn+m +am¡1yn+m¡1 +¢¢¢ +a1yn+1 +a0yn = 0: (8) The equation (8) can only be satisfled if yn+1 is equal to yn multiplied by a constant, yn+1 = Cyn; in which case, each term in the equation is equal to any other term multiplied by a constant, e. g. yn+2 = Cyn+1 = C 2y n, etc. Note that the constant ...

  Order, Equations, Discrete, Difierence