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Differential equation problems occur in many different technical
Many mathematical models derived in the study of physical systems
involve instantaneous rates of change that are given mathematically by
the derivatives of one variable with respect to another.
Nonetheless engineers are used to modeling their dynamic nonlinear
physical systems by differential equations.
differential equations, are defined as:
with the initial conditions (values)
These differential equations belong to the category of problems called
initial value problems, which usually
model time-dependent phenomena. There are several well-known mathematical
methods for obtaining the numerical solution of a
e.g. Euler Method, Modified Euler, Runge-Kutta ,
Suppose the initial conditions (y(t0),
the differential equation parameters (a0, a1, ..., an)
are not known exactly. Fuzzy logic allows to model such imprecision
by fuzzy values based on fuzzy sets  in .
The proposed Interactive Evolutionary Algorithm Approach is able
to solve ordinary differential equations (ODE) whose initial conditions and/or
differential equation parameters are represented by fuzzy values.