I was wondering whether you can use KVL for the circuit in the picture. If you can, can you do it like it is drawn here? Can someone help me come up with the mesh equations?
I don't see any problem.
For example, the big loop for the I3, it goes like this:
\(V_3=5\cdot (I_3-I_2)+(4+3j)\cdot (I_3)+5\cdot(I_3-I_1)\)
3 equations with 3 unknowns. You will have to work with complex numbers however.