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Solving a system of non linear equations with several solver (choose) adjusting the number of equations

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Hi all,
I have a certain equation (analytic expression) defined by parameters and some measurements (right side of my equation) and I want to write down a system of equations specifying the number of equations (that can be adjusted). I want to solve the system choosing different solvers possibly, like lsqnonlin or other funcitons within the optimization toolbox. How can I achieve this?
Thanks in advance for your answer.

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