What is the Norton equivalent current source at terminal a-a' for the circuit (see attachment below),for t0.Initial conditions are shown at t=0 ?

Question

What is the Norton equivalent current source at terminal a-a' for the circuit (see attachment below),for t>0.Initial conditions are shown at t=0 ?

anonymous · Answer

attachment

anonymous · Answer

In fact I don't think I can mix complex method and classic method.
Sincerely, I think that you would resolve the differential equation :
$$d^2q(t)/dt^2+q/(L.C)=di(t)_ {Norton}/dt$$

anonymous · Answer

I do have possible answers for the exercise,but I am far away of any of those.
The closest is to the answer(2).All of these problems I posted here are from Transient Analysis,that I just getting familiar with.I am not so good with it,but I am doing my best.