ordinary differential equation

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ordinary differential equation

[′ȯrd·ən‚er·ē ‚dif·ə′ren·chəl i′kwā·zhən]
(mathematics)
An equation involving functions of one variable and their derivatives.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The regular component U(x) is a sufficiently smooth solution of an inhomogeneous differential equation; its first-order derivative is [epsilon]-uniformly bounded.
We consider the transformation f(r) = 1/[lambda](r) and obtain a first-order linear inhomogeneous differential equation as
4: Solve the inhomogeneous differential equation (2.14) for [[phi].sub.1] with the setting [[psi].sub.1] = [v.sub.1,k], ..., [[psi].sub.k] = [v.sub.k,k] and p = k.
Note that (4.4) is just a second order inhomogeneous differential equation with one Dirichlet and one Robin boundary condition.
Equation (2) is an inhomogeneous differential equation, where the function V(R) is called the perturbed scattering potential of the patterned structure relative to the unpatterned stratified structure with the dielectric constant of [[epsilon].sub.f] (R).
The corresponding axial displacement field is shown to be governed by a fourth-order inhomogeneous differential equation. Boundary conditions are naturally inferred by performing a standard localization procedure of a variational problem formulated by making recourse to thermodynamic restrictions see, for example, [24-26], according to the geometric approach illustrated in [27-30].