where
is a vector of dependent
variables and . Differential-algebraic equations can be solved numerically
in the Wolfram Language using the
command NDSolve,
and some can be solved exactly with DSolve.
For suitable systems, differentiating the algebraic constraints can yield relations used to reduce the system to ordinary
differential equations. The original constraints must still be imposed, since
differentiation can introduce additional solutions.
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is a vector of dependent
variables and 
. Differential-algebraic equations can be solved numerically
in the Wolfram Language using the
command NDSolve,
and some can be solved exactly with DSolve.
of a DAE need not be a polynomial,
so the two terms are not synonymous.
