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You must mean Algebraic equations are the exact ones.
I guess I ment to say partial differential equations and nonlinear partial differential equations.
NavierStokes equation for example have few or no exact solutions in closeform.

http://en.wikipedia.org/wiki/Differential_equation
http://en.wikipedia.org/wiki/NavierStokes_equations
Windu6, it is called an equation _because_ given some values to calculate with it gives an result, and given exact the same values again, it gives the same result, over and over again. This is definite, no matter what kind of equation.
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Originally Posted by windu6
You are talking of the butterfly effect.

I know what I am talking about :P so yes, that's basically chaos theory in a nutshell.
http://en.wikipedia.org/wiki/Chaos_theory