The network shown in below figure consist of two coupled coils and a capacitor. At t=0 = 0, the switch is closed connecting a voltage generator, $$v_{in} = V \sin(\frac{t}{\sqrt{MC}})$$ what will be the value of $$\frac{d v_{a}}{dt} (0+)$$?

A

$$ \left(\frac{V}{L}\right) \sqrt{\frac{M}{C}}$$

B

$$ \left(\frac{V}{L}\right)$$

C

0

D

$$ \left(\frac{V}{L}\right) \left(\frac{M}{C}\right)$$