Exercise 6.13 Apparently a swcond order filter...

Given is the following second-order filter:

a)

Show that the transfer function of this filter is $H(\mathit{j\omega })=\mathit{j\omega }\frac{L}{R}\cdot \frac{(1-\mathit{j\omega RC})}{1+\mathit{j\omega }\frac{L}{R}}$.

b)

Draw the Bode plot (magnitude and phase) of this $H(\mathit{j\omega })$. You may assume that $\mathit{RC}=L∕R={\omega }_0^{-1}$ for simplicity reasons.