Differential equation question Find the solution of the firs

Find the solution of the first-order difference equations with the given initial condition and write out the first five values of y_k in sequence form:

Solution

a) (3,5,7,9,11,...)

b) (2, 1, 2, 1, 2, 1.....)

c) (1, 2, 5, 14, 41, 122,....)

d) (5, -15, 45, -135, 405,....)

e) (0, 4/3, 20/9, 56/27,164/81,...)

f) (3, 3.5, 3,75, 3.875, 3.9375, 3.96875,....)