Solving Non-linear Nodal Analysis Problem on Matlab

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electrolives

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I need to the solution of this example on Matlab. I try to solve, but stucked in the 3-uçlu (uçlu means outputs) nodal. How can i solve this problem?
 
I need to the solution of this example on Matlab. I try to solve, but stucked in the 3-uçlu (uçlu means outputs) nodal. How can i solve this problem?
View attachment 118187

You got 10 unknowns: v1 thru v5 and i1 thru i5. You have only 5 equations listed. You need another 5 equations. For instance i1 = i4 + i3 . Can you find 4 more equations? What is special about Matlab? Any equation solver will do, won't it?

Ratch
 
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