### 2. Consider the recurrence relation ( a_n = 2a_{n-1} + 3n ) **(a)** Write the associated homogeneous recurrence relation. --- **(b)** Find the general solution to the associated homogeneous recurrence relation. --- **(c)** Find the particular solution to the given recurrence relation. --- **(d)** Give the general solution to the given recurrence relation. --- **(e)** Find the solution to the given recurrence relation when ( a_0 = 1 )