畢業(yè)論文正文(常微分方程積分因子法的求解)(已修改)
2025-07-04 12:29 本頁面
【正文】 摘 要微分方程是表達自然規(guī)律的一種自然的數(shù)學語言。它從生產(chǎn)實踐與科學技術中產(chǎn)生，而又成為現(xiàn)代科學技術中分析問題與解決問題的一個強有力的工具。人們在探求物質(zhì)世界某些規(guī)律的過程中，一般很難完全依靠實驗觀測認識到該規(guī)律，反而是依照某種規(guī)律存在的聯(lián)系常常容易被我們捕捉到，而這種規(guī)律用數(shù)學語言表達出來，其結(jié)果往往形成一個微分方程，而一旦求出方程的解，其規(guī)律則一目了然。所以我們必須能夠求出它的解。同時，對于恰當微分方程我們有一個通用的求解公式。但是，就如大家都知道的那樣，并不是所有的微分形式的一階方程都是恰當微分方程。對于這類不是恰當微分方程的一階常微分方程該如何求出它的解呢，這就需要用到這里我們討論的積分因子了。關鍵詞：微分方程；積分因子；恰當微分方程；一階微分； AbstractDifferential expression of natural law is a natural mathematical language. It from the production practice and science and technology generation, but modern science and technology in analyzing and solving problems in a powerful tool..Some people in the law to explore the process of the material world, the general experimental observation is difficult to pletely rely on recognizing that the law, but there is a link in accordance with certain laws are often easy to catch us, and such laws expressed in mathematical language, which often results in the formation of a differential equation, and once obtained equation, the law is clearSo we must be able to find its solution.Meanwhile, for the appropriate differential equation we have a general formula to solve. However, as we all know, not all forms of firstorder differential equations are
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