Thread: System of eqs

1. System of eqs

Hi,

given the following system,

\displaystyle \begin{aligned} v(t_1) &=& b_1 + b_2e^{-t_1/b_3} + b_4e^{-t_1/b_4} \\ v(t_2) &=& b_1 + b_2e^{-t_2/b_3} + b_4e^{-t_2/b_4} \\ v(t_3) &=& b_1 + b_2e^{-t_3/b_3} + b_4e^{-t_3/b_4} \\ v(t_4) &=& b_1 + b_2e^{-t_4/b_3} + b_4e^{-t_4/b_4} \\ \end{aligned}

where times $\displaystyle t_1,\dots,t_4$ and measurements $\displaystyle v(t_1),\cdots,v(t_4)$ are known, find constants $\displaystyle b_1,\dots,b_4$.

I have not had much about nonlinear systems, but perhaps Newton's would work well enough for something like this. What do you guys think?

2. Sure. It looks a bit different, but I think it would work well for your application.

3. Thanks for the quick reply!

4. You're welcome. Have a good one!