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sistem of 8000 equations with 3 unknowns. How can I solve this in a correct way?

Hi ,

I have an basic equations that looks like this:

ninf = no + k1*v + k2*sqrt(ΔT)

ninf - infiltration

v - speed

ΔT - temperature difference

the unknowns are

no - initial infiltration

k1 and k2 - coefficients.

I have the values for ninf , v and ΔT. How can I approximate a correct value for the 3 unknowns?

It is obvious that I will not be able to find a set of values that will fulfill all my equations but I need something that will give me the closest thing to that.

Hope you can help me. I attached a file in case you need it.