根据时间的变化，x，is，，of，course，，changing，in，some，way,发生相应的变化，当你得到了,和时间的正确关系，for，x，as，a，function，of，time,你把它代入,这个微分方程，这个等式，就能得到满足。
x as a function of time, and when you have the correct solution x and you substitute that back into that differential equation, that equation will have to be satisfied.
我们在本文中给出了布尔方程(包括一元及多元布尔方程蛆和布尔不等式方程组)的一种通用解法。
This article presents a general method to solve Boolean equations (or inequality) or system of simultaneous equations of an unknown or any number of unknowns.
第五章给出了求解超定线性丢番图方程组和不等式组的修正abs算法。
Chapter five presents the modified ABS algorithms for solving linear overdetermined linear Diophantine equations and inequations.
本文研究了和素数有关的方程组和不等式组。通过更细致的指数和估计，我们改进了以前的结果。
In this paper we study systems of Diophantine inequalities and equations with prime Numbers. We improve previous results by more delicate estimates of exponential sums.
由它们可以自然地和同时推导出热静力学的所有平衡方程和熵不等式及热动力学所有均衡方程和熵率不等式。
From these new fundamental laws all equilibrium equations of thermostatic and all balance equations of thermodynamics as well as the entropy inequality and the entropy rate are naturally derived.
给出系统的时间积分等式，并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理。
A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.
本文研究高阶复合方程基于能量不等式和生成算子的稠密性。
The proof is based on an energy inequality and the density of the range of the operator generated by the studied problem.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
在每步迭代计算中，新方法提出了易于计算的子问题，该子问题由强单调的线性变分不等式和良态的非线性方程系统构成。
At each iteration, the proposed subproblem consists of a strongly monotonic linear variational inequality and a well-conditioned system of nonlinear equations, which is easily to be solved.
在每步迭代计算中，新方法提出了易于计算的子问题，该子问题由强单调的线性变分不等式和良态的非线性方程系统构成。
At each iteration, the proposed subproblem consists of a strongly monotonic linear variational inequality and a well-conditioned system of nonlinear equations, which is easily to be solved.
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