Answer to: Find an implicit equation of the general solution of the differential equation dydx= \frac {-((4x^3)(y^4)+7x^5)}{((4x^4)y^3+13y^6)} By...
solved by the imposition of an inhomogeneous quadratic relationship among the independent variables, whose coefficients are functions of phgr is discussed, and it is shown that if the discriminant of the quadratic vanishes, then an implicit solution of the so-called universal field equation is ...
Based on the guessed 胃NW and 胃SE values (solutions at the northwest and the southeast corners of a computational cell), the nine-diagonal coefficient matrix is factored in terms of a lower and an upper triangular matrix with only seven nonzero diagonals. The solution procedure then is ...
We show that systems of second-order ordinary differential equations, , subject to compatible nonlinear boundary conditions and impulses, have a solution x such that lies in an admissible bounding subset of when f satisfies a Hartman-Nagumo growth bound
On the Numerical Solution of Implicit Ordinary Differential Equations In the solution of the implicit first-order differential equation f(x, y, y') = 0, with specified initial condition, standard methods for the explicit problem y' = g(x, y) fail, or become very inaccurate, in the vicinity...
An efficient finite-difference method for solving the heat transfer equation with piecewise discontinuous coefficients in a multilayer domain is developed... H Kalis - 《International Journal of Heat & Mass Transfer》 被引量: 23发表: 2000年 Finite difference solution of unsteady natural convection bou...
Adaptive Radial Basis Function Interpolation for Time-Dependent Partial Differential Equations In this thesis we have proposed the meshless adaptive method by radial basis functions (RBFs) for the solution of the time-dependent partial differential equations (PDEs) where the approximate solution is obtaine...
3D scenes can be represented as 3D-structured neural scene representations, i.e., neural implicit representations that map a 3D coordinate to a representation of whatever is at that 3D coordinate. This then requires the formulation of a neural renderer, in particular, a ray-marcher, which perfor...
Consider an ordinary differential equation \frac{d\theta}{dt} = f(\theta). Let \theta(t) be the solution of this ODE with initial \theta_0 , i.e., \theta(0)=\theta_0 . By Explicit Euler method, we have \theta_{n+1} = \theta_n + hf(\theta_n) ...
3) implicit differential equation 隐式微分方程 1. Then an existence and unique theorem of solution for implicit differential equations without continuous condition in a Banach space are got. 改善和利用Banach空间中方向Lipschitz条件,得到Banach空间中不具备连续条件的隐式微分方程解的存在性和唯一性定理,...