Solve function for Supernode Circuit Analysis

AI Thread Summary
Using the TI-89 Titanium ROM Version 3.10, the solve() function can handle N equations with N unknowns effectively. However, challenges arise when applying it to Nodal Analysis involving a supernode, which introduces more equations than variables. In the provided example, three equations are defined, but only two variables (v1 and v2) are present. The equation for the supernode adds an additional constraint, resulting in the solve() function returning false when attempting to solve the system. This indicates that the function struggles with overdetermined systems where the number of equations exceeds the number of variables. A workaround or alternative approach may be necessary to address this issue, as the current setup does not yield a solution.
vtee2014
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I am using a TI-89 Titanium ROM Version 3.10

I can use solve() readily for N equations and N unknowns, however:

I am trying to use the solve() function for Nodal Analysis with a Supernode

As you may recall, this means more equations than variables:

For example: (this is slightly modified from the real problem)

1] v1/2 + (v1-v2)/3 - 9 = 0 --> I am storing this STO > n1

2] v2/6 + (v2-v1)/3 - 7 = 0 --> I am storing this STO > n2

supernode

s] v2 + 5 = v1

or v1 - v2 - 5 = 0 --> I am storing this STO > n3

The supernode adds one more equation but there are only two variables

so:

solve(n1 and n2 and n3, {v1, v2})

returns -> false

This may be a trivial fix or more complicated, but I cannot see a workaround

How do I use solve() when there are N unknowns and > N equations ??
 
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