Application of differential equations?

) In medicine for modelling cancer growth or the spread of disease

2) In engineering for describing the movement of electricity

3) In chemistry for modelling chemical reactions

4) In economics to find optimum investment strategies

5) In physics to describe the motion of waves, pendulums or chaotic systems ]]>

If you read the wiki page on Gompertz functions [http://en.wikipedia.org/wiki/Gompertz_function] this might be a good starting point. This function is a modified exponential model so that you have rapid initial growth (as in a normal exponential function), but then a growth slowdown with time. You could use this equation to model various initial conditions.

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