Let f(x) be a polynomial satisfying f(0) = 2, f'(0) = 3 and f''(x) = f(x). Then f(4) is equal to
(A) <span class="math-tex">\(5 \frac {(e^8 - 1)}{2e^4}\)</span>
(B) <span class="math-tex">\(\frac {(5e^8 - 1)}{2e^4}\)</span>
(C) <span class="math-tex">\(\frac {2e^4}{5e^8 - 1}\)</span>
(D) <span class="math-tex">\(\frac {2e^4}{5(e^8 + 1)}\)</span>