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Tricky Nodal voltage questions.Please help

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PlayaSlaya

Joined Jun 22, 2009
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While studying for my final exam I came across these two nodal analysis questions. They may seem fairly simple but I wasn't quite sure how to proceed with them.

I'm mainly having difficulty getting the nodal equations for node2 in the first problem and for node1 and node3 in the second problem.

My exam is in two days time so any help would be greatly appreciated. Thanks in advance.
 

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