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Question: Solving a Non-Linear System of Equations and Optimization

Question:Solving a Non-Linear System of Equations and Optimization

verno524 8 Maple
optimization rootfinding fsolve
June 06 2008
0

Hello,

I'm new to Maple and am having some difficulty with solving a system of non-linear equations. Here are the equations:

Mt=M+K1*M*I+K2*M*I^2+K3*M*Z

It=I+K1*M*I+K2*M*I^2

Zt=Z+K3*M*Z

The values of Mt, It, K1, and K2 are known. I have a set of experimental values for Zt, and I can put in an initial guess of K3.

I need to determine a value of K3 that will satisfy the follwing: Acalc-Aobs=0, where Acalc=650*I+36800*K1*M*I+51000*K2*M*I^2.

Is there a way to get Maple to solve the system of equations using the set of experimental values of Zt to arrive at the value of K3 that will satisfy Acalc-Aobs=0?

Thank you.
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