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APPENDIXC

C.l THE GENERIC FORM

Pearson devised a generic form of differential equation which could be made to represent the behavior above with the potential of being adjustable to fit a number of different particular circumstances. The fundamental form of this differential equation is

It is easy to see that dy/dx, the slope, is zero where y is zero (at the far left, the far right), where x = a, and where F(x) is very large (where x is large).