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- Matrix_differential_equation abstract "A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation contains more than one function stacked into vector form with a matrix relating the functions to their derivatives.For example, a simple matrix ordinary differential equation is where x(t) is an n×1 vector of functions of an underlying variable t, x'(t)</math> is the vector of first derivatives of these functions, and A is an n × n matrix, of which all elements are constants. Note that by using the Cayley-Hamilton theorem and Vandermonde-type matrices, a solution may be given in a simple form. Below the solution is displayed in terms of Putzer's algorithm.In the case where A has n distinct eigenvalues, this differential equation has the following general solution: where λ1, λ2, ..., λn are the eigenvalues of A; u1, u2, ..., un are the respective eigenvectors of A and c1, c2, ...., cn are constants.".
- Matrix_differential_equation wikiPageID "20071404".
- Matrix_differential_equation wikiPageRevisionID "601200867".
- Matrix_differential_equation hasPhotoCollection Matrix_differential_equation.
- Matrix_differential_equation subject Category:Ordinary_differential_equations.
- Matrix_differential_equation type Abstraction100002137.
- Matrix_differential_equation type Communication100033020.
- Matrix_differential_equation type DifferentialEquation106670521.
- Matrix_differential_equation type Equation106669864.
- Matrix_differential_equation type MathematicalStatement106732169.
- Matrix_differential_equation type Message106598915.
- Matrix_differential_equation type OrdinaryDifferentialEquations.
- Matrix_differential_equation type Statement106722453.
- Matrix_differential_equation comment "A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders.".
- Matrix_differential_equation label "Matrix differential equation".
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- Matrix_differential_equation sameAs Q6787870.
- Matrix_differential_equation sameAs Q6787870.
- Matrix_differential_equation sameAs Matrix_differential_equation.
- Matrix_differential_equation wasDerivedFrom Matrix_differential_equation?oldid=601200867.
- Matrix_differential_equation isPrimaryTopicOf Matrix_differential_equation.