Linear differential equations are, generally speaking, among the simplest to solve.
一般说来，线性微分方程属于解起来最简单的一种。
Systems of linear differential equations can be handled by using the methods of linear algebra.
线性微分方程组可以应用线性代数中的方法求解。
Using linear transform, the simple proof for solution of higher order linear differential equations was given.
利用线性变换，统一给出常系数线性方程齐次通解和非齐次特解解构造定理的简化证明。
The dynamic equation of motion chain is a group of high non-linear differential equations, the solution is difficulty.
锚泊线的运动方程是一组高非线性的偏微分方程组，求解困难。
In this paper, the non-linear differential equations of aircraft motion are simplified by the condition of steady spin.
按稳定尾旋的条件对飞机运动方程组作了简化。
We discuss the first order linear differential equations with constant coefficients and give a new vector method of it.
讨论一阶常系数线性微分方程组通解问题，给出一种新的向量解法。
With variable substitution, several kinds of linear differential equations are solved and several sufficient and necessary conditions are obtained.
借助于变量代换，求解几类线性微分方程，并得到了几个求解的充分必要条件。
In this thesis, we investigate the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of linear differential equations.
本文研究了线性微分方程解的超级和二级不同零点收敛指数。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
The Newton-iterative method is adopted in order to acquire the keys of the equilibrium equations because the equations are non-linear differential equations.
由于得到的简化微分方程组为非线性微分方程组，因此本文选用牛顿迭代法来在求解此微分方程组。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
In this paper, we investigate growth problems of solutions of a type of homogeneous and non-homogeneous higher order linear differential equations with entire coefficients of iterated order.
本文研究一类高阶线性齐次与非齐次迭代级整函数系数微分方程解的增长性问题。
Under coulostatic perturbation, the transition process may be described by a group of linear differential equations, the key of deriving the equations is to determine the value of start condition.
恒电量微扰下的过渡过程可用一组线性微分方程组表示，求解的关键是确定其初始条件值。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程，在无需求其特解及基本解组的情况下给出其通解公式，并举例验证公式的适用性。
The hyper order, the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed.
研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数，得到一些精确的结果。
The DSC data obtained are fitted to the integral, differential and exothermic rate equations by linear least-squares, iterative, combined dichotomous and least-squares methods, respectively.
用线性最小二乘法、迭代法以及二分法与最小二乘法相结合的方法，以积分方程、微分方程和放热速率方程拟合dsc数据。
We have already stated that our main concern will be the study of systems for which linear, time-invariant differential equations provide a useful model.
前已指出：我们主要关心的是用线性、时不变微分方程作为实用的模型系统。
College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math.
大学：微积分，微分公式，线性代数，概率和统计，离散数学。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
数值试验结果表明，RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。
In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
本文用单调性方法研究了一个拟线性抛物型方程系教反问题，得到了该反问题的唯一性与稳定性。
A set of linear ordinary differential equations in the case of sm all deflections is determined by application of the Galerkin's method.
在小变形情况下，运用伽辽金方法，可将偏微分方程转换为线性常微分方程组进行求解。
The dynamical stability of the LLG equation of the Stoner particles is analyzed by using the linear stability criteria of differential equations.
利用微分方程线性稳定性判据，分析了斯通纳粒子LLG方程的动力学性质。
Classical mathematical equations is the large number of second-order linear partial differential equations.
经典的数理方程大量的是二阶线性偏微分方程。
The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.
机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
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