Linear differential equation

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(Math.) an equation which is of the first degree, when the expression which is equated to zero is regarded as a function of the dependent variable and its differential coefficients.

See also: Linear

References in periodicals archive ?
At a level suitable for undergraduate students, he covers first-order differential equations, mathematical models, linear differential equations of higher order, systems of linear differential equations, and Laplace transforms.
Rassias, "Laplace transform and Hyers-Ulam stability of linear differential equations," Journal of Mathematical Analysis and Applications, vol.
Krein, Linear Differential Equations in Banach Space, AMS, Providence, RI, USA, 1971.
First of all, we consider the complex dynamical properties of solutions to second order linear differential equations with polynomial coefficients and obtain the following two remarks.
Islamabad -- The Allama Iqbal Open University (AIOU) on Thursday held a day-long training workshop on recent advances in mathematics to enable its students to find out methods for solving non-homogeneous linear differential equations.
ISLAMABAD -- Allama Iqbal Open University (AIOU) on Wednesday a day-long workshop on recent advances in mathematics to motivate its students to find out methods for solving Non-Homogeneous Linear Differential Equations.
In [13] Olver and Townsend presented a fast spectral method for solving linear differential equations using bases of ultraspherical polynomials, which has subsequently been exploited in Chebfun [6] and ApproxFun [12].
The material is suitable for senior undergraduate and first-year graduate students and practicing control engineers who have some background in linear differential equations and control theory at the level of an introductory course in automatic control.
The purpose of this study is to show the applicability of this interesting new transform and its efficiency in solving the linear differential equations.
The main purpose of this paper is to study the growth of solutions of the linear differential equations of the form
First, let us assume the system of first order linear differential equations a matrix, whose elements are constants (1).
For completeness, in Annex we include a proof of the well-known elementary solution method for solving non-homogeneous linear differential equations with constant coefficients, used in the first application.
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