Is this an active or a passive circuit?
The two 5V sources cancel, lets say you feed in 1V, the right 2 Ohm resistor ends up only seeing a difference of 1V, same if you feed a current in at "I", the offsets do not prevent the current from flowing through this right resistor, so for all purposes you can remove them, they neither affect nor influence the circuit in any way. 

This leaves you with 2 resistors in parallel, a passive and linear circuit.