DAE meaning in Maths ?

Answer:

What is Differential Algebraic Equation mean?

In mathematics, a differential-algebraic system of equations (DAEs) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system. Such systems occur as the general form of (systems of) differential equations for vector–valued functions x in one independent variable t,

F ( x ˙ ( t ) , x ( t ) , t ) = 0 {\displaystyle F({\dot {x}}(t),\,x(t),\,t)=0}

where x : [ a , b ] → R n {\displaystyle x:[a,b]\to \mathbb {R} ^{n}} is a vector of dependent variables x ( t ) = ( x 1 ( t ) , … , x n ( t ) ) {\displaystyle x(t)=(x_{1}(t),\dots ,x_{n}(t))} and the system has as many equations, F = ( F 1 , … , F n ) : R 2 n + 1 → R n {\displaystyle F=(F_{1},\dots ,F_{n}):\mathbb {R} ^{2n+1}\to \mathbb {R} ^{n}} .They are distinct from ordinary differential equation (ODE) in that a DAE reference

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