linear differential equation


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linear differential equation

[′lin·ē·ər ‚dif·ə¦ren·chəl i′kwā·zhən]
(mathematics)
A differential equation in which all derivatives occur linearly, and all coefficients are functions of the independent variable.
References in periodicals archive ?
Rassias, "Laplace transform and Hyers-Ulam stability of linear differential equations," Journal of Mathematical Analysis and Applications, vol.
Suppose that u is a nontrivial solution of linear differential equation (1), where A(z) is transcendental entire function with finite order [sigma](A), and u/u' is transcendental meromorphic.
1 we determine a particular solution of a non-homogeneous linear differential equation with piecewise constant coefficients and piecewise continuous right side.
This is easy to verify by solving or simulating the linear differential equation (3c) relative to [M.
The Lagrange method of variation of constants in the case of an nth order areolar linear differential equation.
The homotopy analysis method has been used to solve the governing non linear differential equations, the governing non linear equations does not contain any small or large parameter which is necessary for the application of a perturbation technique.
Find the singular expansion of Q(z) at the dominant singularity 1/8 (Lemma 3), using both the property that Q(z) is D-finite (solution of a linear differential equation with polynomial coefficients) and the asymptotic estimate of [q.
We obtain a necessary and sufficient condition in order to a non-zero linear functional u satisfying a first-order linear differential equation (Eu)' + Fu = 0 be weakly-regular.
Examples concerned with deleting coefficients in a linear differential equation.
The solution to the second-order, linear differential equation for a (LRC) circuit with constant resistance, inductance and capacitance is well known.
It is natural to ask: what results can we get when we investigate the exponent of convergence of the zero-sequence of solutions of the higher order linear differential equation
The mathematical description of such systems can yield a model in the form of (an ordinary or rather a functional) linear differential equation (Bellmann & Cooke, 1963) in the neighborhood of an operating point.

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