3) non-homogeneous equation 非齐次方程 1. Based on the original precise integration method,the problem that singular matrix appeares innon-homogeneous equationwas discussed. 在原有精细积分法的基础上,对非齐次方程出现奇异矩阵的问题进行探讨。
We present a method to find the solution of homogeneous fuzzy heat equations with fuzzy Dirichlet boundary conditions. We consider the fuzziness in zero in the homogeneous equation as well as in the boundary conditions. The initial conditions are also in fuzzy form. Further, we study the ...
Answer to: Check that y_1 = x is a solution of the homogeneous equation for the DE x^2y'' + xy' - y = 4/x^2. By signing up, you'll get thousands of...
We present a method to find the solution of homogeneous fuzzy heat equations with fuzzy Dirichlet boundary conditions. We consider the fuzziness in zero in the homogeneous equation as well as in the boundary conditions. The initial conditions are also in fuzzy form. Further, we study the ...
摘要: A representation is presented for the general solution of the homogeneous linear matrix differential equation system. The representation derived is then used to describe the dynamic behavior of the matrix system in terms of the properties of constituent systems of lower order....
Euler-Homogeneous Equation: The equation given in the form {eq}ax^2y''+bxy'+cy=0 {/eq} is known as the Euler-homogeneous equation. To evaluate the general solution means we have to find a relation in terms of independent variable that holds true for the given equation....
A system has two or moreequationsin it. If each equation in it has its constant term to be zero, then the system is said to be homogeneous. What is the Solution of Homogeneous System of Linear Equations? A zero vector is always a solution to anyhomogeneous system of linear equations. Fo...
5) homogeneous equation 齐次方程 1. The treatment,by which the non-homogeneous equationwas transformed intohomogeneous equation,not only simplifies. 将非齐次方程转化为齐次方程不仅使问题变得大为简化,同时也减少了数值计算的工作量。 2. Considering the symplectic relations of variations in the thermal equil...
In this article a numerical solution for the evolution equation of a continuous time non-homogeneous semi-Markov process (NHSMP) is obtained using a quadrature method. The paper, after a short introduction to continuous time NHSMP, presents the numerical solution of the process evolution equation ...
Justification of the fourier method for an inhomogeneous hyperbolic equation with random right-hand side We consider an inhomogeneous hyperbolic equation with homogeneous initial and boundary conditions and a random right-hand side. In the case where the right... BV Dovhai - 《Ukrainian Mathematical ...