Next consider an example containing a dependent voltage sources shown in Fig. 4.15. In example 4.7 we initially treated dependent current sources as if they were independent, for the purpose of writing the nodal equations, and then replaced their controlling variables by node voltages. We proceed in the same fashion here.
Equations are needed at nodes v1 and v2, but not at either supernode since they both contain the reference node. The two required equations are