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Math Help - Proof(Rate Of)

  1. #1
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    Proof(Rate Of)

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    Attached Thumbnails Attached Thumbnails Proof(Rate Of)-wire.jpg  
    Last edited by CaptainBlack; April 22nd 2006 at 06:23 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by askmemath
    Help

    Thank you
    Let a(t), b(t), and c(t) be the mass of the three componds present at time t.
    Translating the givens into a set of equations gives (hopefully correctly this time):

    \dot c(t)=\alpha\ a(t).b(t) for some rate constant \alpha, which we will determin later
    c(t)=90-b(t)
    c(t)=(50-a(t))*2

    Which may be manipulated to give:

    \dot c(t)=\alpha\ (50-c(t)/2)(90-c(t)),

    which is an ODE of variables seperable type.

    (I may continue this when I have a bit more time)

    RonL
    Last edited by CaptainBlack; April 24th 2006 at 06:12 AM. Reason: Because of a total *&!@ up formulating the equations
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