Here's my circuit:
simulate this circuit – Schematic created using CircuitLab
I have defined the node 'voltages' and the mesh current directions and the currents themselves. What I want to do is calculate the nodal and mesh equations for this circuit given the information above.
Here's my work at the nodal analysis: $$KCL\;\;V_1:\;\;{ {{V_1-V_2}\over R_2} +{{V_1-V_3}\over R_1} + {V_1\over R_3}= 0}$$ $$KCL\;\;V_2:\;\;{ {-I_b} +{{V_2-V_1}\over R_2} -I_a = 0}$$ $$KCL\;\;V_3:\;\;{ {{V_3-V_1}\over R_1}+I_a +{{V_3-V_4}\over R_4} = 0}$$ $$KCL\;\;V_4:\;\;{ {{V_4-V_3}\over R_4} +{{V_4}\over R_5} - I_c = 0}$$ As far as I can tell, those should be correct.
My next problem is how to get the equations for the mesh currents. What my issue is, is at the super mesh(s?) formed by Ia and Ib. I'm not sure how to get the mesh currents if those are there.
To summarize, I'm pretty sure my voltage/nodal equations are correct but I'm not 100% sure about that. I don't know how to get the mesh current equations if those independent sources are in this particular configuration.
If anyone could help I would greatly appreciate it. Thank you!