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。
A linear differential transformer has three coils.
一个直线差动变压器有三个线圈。
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。
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。
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。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
This paper mainly deals with the solution to the linear differential equation that can be changed into the one with constant coefficients.
本文主要探讨可化为常系数的线性微分方程的求解问题。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
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。
This paper discusses the theoretical models and numerical experiments of parallel iteration methods for solving non-linear differential-algebraic systems.
讨论了非线性微分-代数系统的并行迭代算法所涉及的理论和具体算例的实现。
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。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
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 random waves, non-linear damp and ship non-linear restore moment are taken into consideration and the ship rolling non-linear differential equation is established.
本文考虑随机波浪及船舶的非线性阻尼、非线性恢复力矩，建立船舶横摇运动的非线性微分方程。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
Then the equation of helicopter pendulum is derived from the nonlinear differential equation and linear differential equation, with the principle of helicopter aerodynamics.
深入探讨了单旋翼涵道风扇式无人直升机的动力学原理，结合其全量方程和线性化增量方程，推导出了其钟摆模态的数学表示。
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。
According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed.
根据耦合波理论，从描述反射全息的非线性微分方程出发，对反射全息图的振幅反射系数进行了分析。
The carbon concentration distribution function derived from partial linear differential equation by applying the feasibility of repeat adding can describe the innate character of multi stage ca...
运用线性偏微分方程的可迭加性质所求得的碳浓度分布函数能够描述多段法渗碳过程的物理本质。
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。
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 thesis analyzes the relationship between Wronsky determinant and linear equation relativity of function in order to get the common solution determinant of linear differential coefficient equation.
探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。
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。
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。
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