Exact differential equation is a type of differential equation there exists a function of two variables with continuous partial derivatives with integrating factor.
exactequations微分differentialerentialerentiable Exact Differential Equations In this section we study another class of first order differential equations which, at least in principle, can be solved analytically by use of standard calculus techniques. Definition A differential equation of the...
Equations A first order differential equation M(x, y) + N(x, y) dy dx = 0 is exact if there is a function F(x, y) such that ∂F ∂x = M and ∂F ∂y = N In this case, F(x, y) = 0, represents an implicit, general solution of the differential equation. ...
The Boeder differential equation is solved in this work over a wide range of α, yielding the probability density functions (PDF), that describe the average orientations of rod-like macromolecules in a flowing liquid. The quantity α is the ratio of the hydrodynamic shear rate to the ...
doi:10.1201/B17629-8A. Hernández-GaleanaJ. Rivera-Rebolledo
Confluent Heun differential equation (CHDE) The Wronskian determinant Access this article Log in via an institution Subscribe and save Springer+ Basic €32.70 /Month Get 10 units per month Download Article/Chapter or eBook 1 Unit = 1 Article or 1 Chapter Cancel anytime Subscribe now Buy No...
O., Control in finite time of differential equations in Banach space. Comm. Pure Appl. Math. 19, 17–34 (1966). Google Scholar Friedman, A., Partial Differential Equations of Parabolic Type. Englewood Cliffs, N.J.: Prentice Hall Pub. Co. 1964. Google Scholar Gal'chuk, L. I., ...
Download chapter PDF Gaussian Random Field Delta-Correlated in Time (Ordinary Differential Equations) Valery I. Klyatskin Pages 305-340 Methods for Solving and Analyzing the Fokker-Planck Equation Valery I. Klyatskin Pages 341-375 Diffusion and Higher Approximations Valery I. Klyatskin...
Exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveling cluster of jam, which is characterized by Jacobi’s elliptic function. The system is related to some soliton systems....
equation, the Gerdjikov-Ivanov equation, the Chen-Lee-Lin equation and the Ablowitz-Ramani-Segur equation are investigated, and the exact solutions are derived with the aid of the homogeneous balance principle, and a set of subsidiary higher order ordinary differential equations (sub-ODEs for short...