I want to write ODE system for simulating following electrical circuit:

At each small step dt i just do euler integration.
I only know ODE for leaky capacitor:
Vc = Vc + dt * (Ic - Vc*gLeak)/Cmembrane
Inductor formula itself is V = L * dI/dt. But i dont know ODE for diode with inductor in series.
Could you help me a bit?