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DIFFERENTIAL EQUATIONS is
the branch of mathematics concerned with the study of
ordinary and partial differential equations.
(Hmm...that's somewhat circular...)
Analysis of differential equations, especially nonlinear partial
differential equations, often involves the tools of
functional analysis and
differential geometry.
Most differential equations admit analytical solution only
in very special situations, and as a result the algorithms
developed in
numerical analysis
must usually be employed in mathematics, science, and
engineering.
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