If $$a$$ and $$b$$ are integers with $$a + \frac{1}{b} = \frac{7}{2}$$ and $$ab + \frac{1}{ab} = \frac{37}{6}$$, then $$\frac{a^2 + b^2}{a^2 - b^2} = $$

A

$$\frac{13}{5}$$

B

$$\frac{10}{3}$$

C

$$\frac{8}{5}$$

D

$$\frac{64}{9}$$