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Math Help - System of eqs

  1. #1
    Member Mollier's Avatar
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    System of eqs

    Hi,

    given the following system,

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

    where times t_1,\dots,t_4 and measurements v(t_1),\cdots,v(t_4) are known, find constants 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?
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  2. #2
    A Plied Mathematician
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    Sure. It looks a bit different, but I think it would work well for your application.
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  3. #3
    Member Mollier's Avatar
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    Thanks for the quick reply!
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  4. #4
    A Plied Mathematician
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    You're welcome. Have a good one!
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