[數] 微分方程
For example, the solution of a differential equation is a function.
例如，這個解決方案的微分方程是一個功能。
So you can write down immediately the solution to this differential equation.
因此可以馬上寫下,這個微分方程的,解法。
The basic thought of the methods is that control differential equation is approached by the function satisfied whole boundary condition in definitional domain.
這些方法的基本思想是用完全（或局部）滿足定義域上邊界條件的函數去逼近問題控制微分方程。
The relation between load and displacement is deduced by approximately differential equation of flexural curve and the error resulted from this estimation is given out.
應用撓曲線近似微分方程，推導了線切割結構的載荷與位移關系，并給出了由于微分近似導緻的誤差。
In this approach we have the ******* in the choice of step size during the integration of the ordinary differential equation.
在這種方法中，我們可以在對常微分方程進行積分的過程中自由選擇步長。
The center focus decision problem is an important part of the differential equation theory.
中心焦點判定是微分方程定性理論的重要組成部分之一。
It is well known that for functional differential equation with finite delay, its phase space always structured by continuous function together with supremum norm.
衆所周知，對于有限時滞的泛函微分方程，其相空間幾乎都是采用連續函數加上确界模所構成的空間；
This algorithm avoids soling differential equation frequently as well as redundant orbit, and it is easy to control the accuracy and to get the picture of manifold.
該算法避免了頻繁求解微分方程問題，沒有求解多餘的軌道，且求解的精度也容易控制，得到的流形圖直觀。
Methods Build up differential equation under the circumstance of the market no arbitrage. Analyze and work out the solution of equation.
方法在市場無套利條件下建立隨機微分方程，運用鞅論、隨機分析的方法分析并求解方程。
The differential model not has model error. Solving the differential equation has rounding error.
微分模型沒有模型誤差，微分方程的求解存在舍入誤差。
By substituting the principle of current continuity with charge conservation, the differential equation of charge accumulation model is built.
該理論以電荷守恒原理代替電流連續性原理，建立了電荷累積模型的微分方程。
First, we get the small noise asymptotic results for stochastic differential equation with jumps.
首先，我們得到了帶跳的隨機微分方程的小噪音漸近結果。
The model's order and parameters are estimated from the differential equation directly without iterations.
該方法無須疊代即可直接從微分方程辨識出模型階次和參數。
A partial differential equation on momentum thickness is derived from unsteady mass and momentum conservation equations in integrating form on boundary layer of the tube.
它是通過在膛壁邊界層建立非穩質量守恒和動量守恒方程的積分式，而獲得有關動量厚度的偏微分方程；
Based on the method of solving heat balance differential equation, a novel over-load protection criterion for electric motor is presented in the paper considering the heat accumulation of motor.
以熱保護為研究對象，充分考慮了電機的熱積累現象，通過求解熱平衡微分方程的方法，給出了新的電動機過載保護判據。
The differential equation of the network is solved by solving a ****** one dimensional differential equation.
通過求解簡單的一維微分方程求出了網絡的解的解析表達式。
It is detailed derived from theory analysis to differential equation, and its damping matrix, rigidity matrix and quality matrix are given.
從理論分析到微分方程的建立做了詳細的推導，并寫出了剛度矩陣、阻尼矩陣和質量矩陣。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
但這一偏微分方程不能直接積分，所以通常用納維法、瑞利-裡茲法、有限差分方法等方法求解。
Uncertain differential equation is a type of differential equation driven by canonical process.
不确定微分方程是由标準過程驅動的一類微分方程。
Firstly, we derived the differential equation of motion of system.
文中首先建立了系統的運動微分方程。
What would a solution be to this differential equation?
這個微分方程的,解法是什麼呢？
In the third chapter, we discussed the problem about partial differential equation with small parameter on the high-order item.
第三章主要對小參數在高階項的偏微分方程進行讨論，也就是一般意義上的邊界層問題。
For the time-varying component, the finite difference combined with heat transfer theory was employed to solve the differential equation of temperature fluctuation on the cavity surface.
波動部分是在給出溫度波動的微分方程後，利用有限差分法結合傳熱學對型腔表面溫度波動進行數值求解。
It is a difficult problem studying the existence of periodic solutions of differential equation in abstract spaces.
研究抽象空間微分方程周期解的存在性一直是比較困難的問題。
Some problems of quantum mechanics can be solved easily by means of the invariant of differential equation.
利用常微分方程的不變式，非常方便地求解了一些量子力學問題。
This paper obtains a new oscillation theorem of high-order differential equation with damping.
本文建立了具有阻尼項的高階微分方程新的振動定理。
|differential eguation;[數]微分方程
微分方程（Differential Equation）是描述未知函數與其導數（或微分）之間關系的數學方程。它是連接函數與其變化率的關鍵工具，廣泛應用于物理學、工程學、生物學、經濟學等領域，用于建模和預測動态系統的行為。
核心概念與分類：
基本定義：
主要類型：
核心意義與應用：
微分方程的核心價值在于它能夠定量描述變化。許多自然規律和工程原理都可以表述為微分方程：
求解與解的含義：
權威來源參考：
總而言之，微分方程是數學中研究變化規律的核心分支，它通過建立函數與其導數之間的關系，為理解和預測自然界及工程技術中各類動态系統的演化過程提供了強大的數學語言和工具。
微分方程（Differential Equation）是數學中用于描述變量間動态關系的重要工具。以下是詳細解釋：
微分方程是包含未知函數及其導數的方程，用于刻畫物理、工程、生物等領域中系統隨時間的演化規律。例如：
微分方程可按以下方式分類：
常微分方程（ODE）
僅含一個自變量的導數，如：$frac{dy}{dx} = 2x$。
偏微分方程（PDE）
含多個自變量的偏導數，如熱傳導方程：$frac{partial u}{partial t} = k
abla u$。
線性與非線性
線性方程中未知函數及其導數為一次項且不相互乘積，如：$y'' + p(x)y' + q(x)y = 0$；非線性方程則相反，如：$y'' + y = 0$。
根據方程類型選擇方法：
微分方程是連接數學與自然科學的核心語言，通過導數關系揭示系統的動态特性。其研究涵蓋從經典力學到現代混沌理論的廣泛領域。
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