Need help finding node equations

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elec_eng
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Need help finding node equations!

[url=http://www.0zz0.com][PLAIN]http://www11.0zz0.com/2012/02/22/06/267083816.jpg[/url][/PLAIN]

I need to find the node equations for node voltages 1 and 3 to find voltages V1 and V3 leaving R3 as a variable!

hope to get help soon!
 
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This is what i tried!
(v1-v4)/R1+ (v1-v3)/R4=0
(v3-v2)/R4+ (v3-v1)/R3+ (v3-v4)/R5= 0
 


elec_eng said:
This is what i tried!
(v1-v4)/R1+ (v1-v3)/R4=0
(v3-v2)/R4+ (v3-v1)/R3+ (v3-v4)/R5= 0

Those equations don't appear to match the circuit. Perhaps you're not correctly identifying everything that comprises the individual nodes? Presumably the first equation is supposed to pertain to NODE 1? If so, what path does the second term describe? Where is the path from NODE 1 to NODE 2?

If the second equation pertains to NODE 3, then the last term is incorrect; it describes a path from NODE 3 to NODE 4 via resistor R5, but this path doesn't exist. Resistor R5 terminates at NODE 0 (Ground).