Solve 4-Equation 10-Variable System

Job ID: 40391443

Budget: €8 – €15 EUR

I have a system of four equations in ten real unknowns plus two extra constraints. Because the system is under-determined, I am not chasing a single exact answer—I need several distinct numerical solutions that satisfy everything.

You are free to use whatever numerical search or optimisation technique you prefer.

Deliverables
• At least five independent solution vectors (x₁ … x₁₀) meeting all four equations and both constraints..
• The reproducible Mathematica notebook that generated them.

I will release payment as soon as I verify the results and they are correct. If you can map out additional pockets of the solution space, even better—let me know.