3. Solve each of the following recurrence relations using the characteristic equation technique and then state T(n) in the notation. Provide full details. - (a) T(n) = 4T(n − 1) - 3T (n − 2) + (n + 6)3", T(0) = 0, T(1) = 1 - (b) T(n) = 3T(n/3) + 2n, T(1) = 0 (c) T(n) = 2T(n/2) − T(n/4) + n logn, T(1) = 0, T(2) = 1 (d) T(n) = (T(n − 1))²/T(n − 2), T(0) = 1,T(1) = 2
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