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Looking for a function in system of DE

  1. Jun 3, 2014 #1
    I'm looking for prescription of function [itex]f[/itex] with behavior:
    attachment.php?attachmentid=70294&stc=1&d=1401779566.png

    putted in this system of DE solving some simple functions [itex]r_{1}(x)[/itex] and [itex]r_{2}(x)[/itex]:
    [itex]\frac{d^{2}r_{2}(x)}{dx^{2}}=\frac{f(r_{2}(x)-r_{1}(x))}{C}[/itex]
    [itex]\frac{d^{2}r_{1}(x)}{dx^{2}}=-\frac{f(r_{2}(x)-r_{1}(x))}{K}[/itex]

    [itex]r_{2}(x)-r_{1}(x)>0;f(r_{2}(x)-r_{1}(x))>0;C,K>0[/itex]
     

    Attached Files:

    Last edited: Jun 3, 2014
  2. jcsd
  3. Jun 3, 2014 #2

    maajdl

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    Gold Member

    Why not a straight line?
     
  4. Jun 3, 2014 #3

    maajdl

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    Gold Member

    3.31143 - 1.37286 x + 0.135714 x^2

    fits more or less the lower curve
     
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