Exercises for difference equations 1.- Check order of the difference equation, its linearity and homogeneity or not a) Yy+1= t *Yt *Yt-1, with t=1, ..., T b ) ( Yt)= ( Yt-1)3, with t=1,..., T c) Ytl =2 Yt +3 t4, with t=0, 1, . .., T 2.- Solve the following equations and study convergence or divergence a) Yt+1= -2 Yt, with t=0, 1,. .., T b) Yf - Yt-1/2, with t=1, ..., T c) YF - Yt-1/2+3, with t=1,. .., T 3.- Solve the following equations a) 4 Yt+2 - 2 Ytl - (1/4) Yt = 8 b) 4 Yt+2 - 2Yt+1 - (1/4) Yt = k c) Yt+1 = 5Yt - 6t d) Yt+2 - 3 Yt+1 + 2Yt = 0 e) Yt+2 + Yt = 2