Can an ODE accurately model an RLC circuit with additional sources?

[Jhenrique]

The equation for this physical model is:
http://upload.wikimedia.org/wikipedia/commons/f/fb/RLC_series_circuit_v1.svg

And for this is:
http://upload.wikimedia.org/wikipedia/commons/d/d0/RLC_parallel_circuit_v1.svg

But and if now I add a source of current in those schemes, the ODE changes?

 

[Born2bwire]

These circuits do not really work. Each of the sources are going to require conditions that are at odds to the other.

Plus, how do you enforce a voltage drop across a circuit with an ideal current source in series? How do you enforce a current source in parallel to an ideal voltage source?

In the former, at best the voltage source does not contribute. The current source acts like the only source. In the latter, the voltage source is the only effective source.