The solution looks incorrect. For node voltage 3 analysis it should be in respect to node 3 not node 2, your equation seemed to be off at at least that point I'm gonna continue checking but it doesn't make sense physics wise the way you're doing your node analysis. It honestly looks like you plugged in the value for i-1 instead of making an equation for node 3 which would be V3 - V-2 divided by 1. If I am incorrect please explain why
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
The solution looks incorrect. For node voltage 3 analysis it should be in respect to node 3 not node 2, your equation seemed to be off at at least that point I'm gonna continue checking but it doesn't make sense physics wise the way you're doing your node analysis. It honestly looks like you plugged in the value for i-1 instead of making an equation for node 3 which would be
V3 - V-2 divided by 1. If I am incorrect please explain why
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