Looking for a function in system of DE

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I'm looking for prescription of function f with behavior:
attachment.php?attachmentid=70294&stc=1&d=1401779566.png


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

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

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Why not a straight line?
 
3.31143 - 1.37286 x + 0.135714 x^2

fits more or less the lower curve
 
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