Determine the Wronskian W(n)=xnyn+1−xn+1ynW(n) = x_n y_{n+1} - x_{n+1} y_nW(n)=xnyn+1−xn+1yn for the basis sequences xn=2nx_n = 2^nxn=2n and yn=3ny_n = 3^nyn=3n.
W(n)=6nW(n) = 6^nW(n)=6n
W(n)=2n⋅3nW(n) = 2^n \cdot 3^nW(n)=2n⋅3n
W(n)=3⋅6n−2⋅6n=6nW(n) = 3 \cdot 6^n - 2 \cdot 6^n = 6^nW(n)=3⋅6n−2⋅6n=6n