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So I have to write out nodal equations for a system that I was given, and I started off by drawing out the flow diagram to see where everything was. I'm having trouble starting the nodal equations though.

The attachment has 2 diagrams: figure 1 is the correct diagram that models the thermal system, and figure 2 is what I drew out to try and write the nodal equations.

I started off at Q1

Q1= (P5-P4)+(P4-P1)+(P1-P5)=0

is this on the right track for a nodal equation? If anyone can explain how to write them or tell me if I'm at least on the right track that would help me so much. Thanks!

The attachment has 2 diagrams: figure 1 is the correct diagram that models the thermal system, and figure 2 is what I drew out to try and write the nodal equations.

I started off at Q1

Q1= (P5-P4)+(P4-P1)+(P1-P5)=0

is this on the right track for a nodal equation? If anyone can explain how to write them or tell me if I'm at least on the right track that would help me so much. Thanks!