A simple method of solving a system of N linear first-order rate equations is given. The method gives the complete time-dependent solutions to the equations in terms of the system rate constants and initial conditions. The solutions are of the form of the sum of N exponentials whose ...
摘要: We establish sufficient conditions for the existence of a general Cauchy-type solution and conditions for the solvability of the Cauchy problem for a system of second-order differential equations.关键词: General Solution Cauchy Problem Initial Vector Equivalent System Inhomogeneous System ...
The integral constants in general solution can be determined by boundary conditions. 一般解中的积分常数可由边界条件来决定. 来自互联网 2. The general solution of a kind second order equation is given. 摘要给出一类二阶变系数线性微分方程的通解. 来自互联网 3. Obtained system of two normal vibratio...
Here we solve the following system of difference equations xn+1(j)=Fm+2+Fm+1xn−k((j+1)mod(p))Fm+3+Fm+2xn−k((j+1)mod(p)),n,m,p,k∈N0,j=1,p¯, where (Fn)n=0+∞ is the Fibonacci sequence. We give a representation of its general solution in terms of Fibonacci...
An algorithm for computing Chebyshev solution of n +1 inconsistent linear equations in n unknowns is given. It makes use of orthogonal triangularization ... RP Tewarson - 《Computing》 被引量: 4发表: 1970年 Curvature Estimates for the Level Sets of Solutions to theMonge-Amp`ere Equation de...
(2) occurs in some mechanical systems with ...which is exactly the difference in s between a2...of degenerate Hopf bifurcation and to recovery the... X Jian,KW Chung - 《Chaos Solitons & Fractals》 被引量: 221发表: 2009年 The general solution to a degenerate differential system with del...
Summary: The main aim of this paper intends to discuss the solution of general dual fuzzy linear system (GDFLS) $AX + F = BX + C$, where $A$, $B$ are real $m\times n$ matrices, $F$ and $C$ are fuzzy vectors, and the unknown vector $X$ is a vector consisting of $n$ ...
This paper investigates the problem of determining a general family of output feedback matrices K which drive the eigenvalues of a controllable and observable linear time-invariant system to desired prespecified positions. The approach followed is based on the concept of making the closed-loop system...
1)general solution通解 1.Existence of the solution for the general degenerate neutral differential system and the general solution;一般退化中立型微分系统解的存在性及通解 2.The general solution of equations of damped forced oscillation for A_2B model;A_2B模型阻尼受迫振动方程组的通解 3.Formulation ...
Find the general solution to the non-homogeneous system of DE: x′=[−45−44]x+[3t0] Complementary and Particular Solution: When the equation is non-homogenous, then its general solution is in the form y(t)=yc+yp, where yc is the complementary solution and yp i...