Final answer:
To find v1 and v2 using node analysis, we need to apply Kirchhoff's circuit analysis method. First, assign variables to the currents and apply Kirchhoff's junction rule at each node to write equations. Solve the equations to find the values of v1 and v2.
Step-by-step explanation:
To find v1 and v2 using node analysis, we need to apply Kirchhoff's circuit analysis method. First, we assign variables to the currents flowing through different branches of the circuit. Then, we apply Kirchhoff's junction rule at each node to write equations. Solving these equations will give us the values of the currents and ultimately the voltages v1 and v2.
For example, let's assume the current flowing through the branch containing v1 is I1. Apply Kirchhoff's junction rule at that node: I1 = I2 + 13. Similarly, apply Kirchhoff's junction rule at other nodes to form the necessary equations. Solve the system of equations to find the values of I1, I2, v1, and v2.