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- Differential_algebraic_equation abstract "In mathematics, differential algebraic equations (DAEs) are a general form of (systems of) differential equations for vector–valued functions x in one independent variable t, where is a vector of dependent variables and the system has as many equations, .They are distinct from ordinary differential equation (ODE) in that a DAE is not completely solvable for the derivatives of all components of the function x.This difference is more clearly visible if the system may be rewritten so that instead of x we consider a pair of vectors of dependent variables and the DAE has the formwhere , , and Every solution of the second half g of the equation defines a unique direction for x via the first half f of the equations, while the direction for y is arbitrary. But not every point (x,y,t) is a solution of g. The variables in x and the first half f of the equations get the attribute differential. The components of y and the second half g of the equations are called the algebraic variables or equations of the system. The term algebraic in the context of DAEs only means free of derivatives and is not related to (abstract) algebra.The solution of a DAE consists of two parts, first the search for consistent initial values and second the computation of a trajectory. To find consistent initial values it is often necessary to consider the derivatives of some of the component functions of the DAE. The highest order of a derivative that is necessary in this process is called the differentiation index. The equations derived in computing the index and consistent initial values may also be of use in the computation of the trajectory.".
- Differential_algebraic_equation wikiPageExternalLink books?id=iRZPqCwkI_IC.
- Differential_algebraic_equation wikiPageExternalLink mcmds01.pdf.
- Differential_algebraic_equation wikiPageExternalLink daets_color.pdf.
- Differential_algebraic_equation wikiPageExternalLink taylorcoeffsdae.pdf.
- Differential_algebraic_equation wikiPageExternalLink sysjac.pdf.
- Differential_algebraic_equation wikiPageID "1833882".
- Differential_algebraic_equation wikiPageRevisionID "600275476".
- Differential_algebraic_equation hasPhotoCollection Differential_algebraic_equation.
- Differential_algebraic_equation subject Category:Differential_calculus.
- Differential_algebraic_equation subject Category:Differential_equations.
- Differential_algebraic_equation subject Category:Numerical_analysis.
- Differential_algebraic_equation type Abstraction100002137.
- Differential_algebraic_equation type Communication100033020.
- Differential_algebraic_equation type DifferentialEquation106670521.
- Differential_algebraic_equation type DifferentialEquations.
- Differential_algebraic_equation type Equation106669864.
- Differential_algebraic_equation type MathematicalStatement106732169.
- Differential_algebraic_equation type Message106598915.
- Differential_algebraic_equation type Statement106722453.
- Differential_algebraic_equation comment "In mathematics, differential algebraic equations (DAEs) are a general form of (systems of) differential equations for vector–valued functions x in one independent variable t, where is a vector of dependent variables and the system has as many equations, .They are distinct from ordinary differential equation (ODE) in that a DAE is not completely solvable for the derivatives of all components of the function x.This difference is more clearly visible if the system may be rewritten so that instead of x we consider a pair of vectors of dependent variables and the DAE has the formwhere , , and Every solution of the second half g of the equation defines a unique direction for x via the first half f of the equations, while the direction for y is arbitrary. ".
- Differential_algebraic_equation label "Differential algebraic equation".
- Differential_algebraic_equation label "Differential-algebraische Gleichung".
- Differential_algebraic_equation label "Ecuación diferencial algebraica".
- Differential_algebraic_equation label "Equazione differenziale algebrica".
- Differential_algebraic_equation label "معادلة تفاضلية جبرية".
- Differential_algebraic_equation sameAs Differential-algebraische_Gleichung.
- Differential_algebraic_equation sameAs Ecuación_diferencial_algebraica.
- Differential_algebraic_equation sameAs Equazione_differenziale_algebrica.
- Differential_algebraic_equation sameAs m.05_mhf.
- Differential_algebraic_equation sameAs Q955889.
- Differential_algebraic_equation sameAs Q955889.
- Differential_algebraic_equation sameAs Differential_algebraic_equation.
- Differential_algebraic_equation wasDerivedFrom Differential_algebraic_equation?oldid=600275476.
- Differential_algebraic_equation isPrimaryTopicOf Differential_algebraic_equation.