Final answer:
The superposition principle and node-voltage method can be used to find vO in a circuit. The superposition principle involves analyzing the circuit with each source separately and combining the results. The node-voltage method uses Kirchhoff's current law equations to find the voltage at each node.
Step-by-step explanation:
The superposition principle states that the total response in a linear circuit is the algebraic sum of the individual responses caused by each source acting separately. To find vO using the superposition principle, you would analyze the circuit with only one source at a time and then combine the results.
On the other hand, the node-voltage method is a technique that allows you to find the voltage at each node in a circuit by writing Kirchhoff's current law equations. You can apply the node-voltage method to find vO by analyzing the circuit and solving for the voltage at the specified node.
To compare the results obtained from the superposition principle and the node-voltage method, you can calculate vO using both techniques and check if they match.