常微分方程在数学建模中的应用 高等数学专业VIP专享

摘要本文通过常微分方程与数学建模双方之间的紧密关系，掌握与之相关的普通观点、解的存在惟一性、平稳性问题、利用多个比较突出的模型比如：人口、减肥数学等众多模型和定性研究等来充分表现本文的分析主体.使用上述知识处理现实生活问题.此部分数学知识的萌生与使用，在数学建模内的使用，主要是为了让更多人了解与使用数学知识，全面处理现实生活中的问题.进而在不同领域使用且促进数学知识的全面使用。关键词：常微分方程，数学建模，数学模型 AbstractIn this paper, ordinary differential equations and mathematical modeling contact between the two, understand the general theory of differential equations, stability problems of the existence and uniqueness of differential equations, differential equations, several typical mathematical models such as: demographic model,example of the mathematical model of weight loss, chemical plant ventilation model, spread of infectious diseases, model and qualitative analysis to reflect the application of differential equations in mathematical modeling. found that the application of mathematical theory to study and solve problems in the actual process of the emergence of ordinary differential equations andOrdinary Differential Equations in Mathematical Modeling widely used, in order to better enable ordinary people to understand and use mathematical theory, solving real-world problems. sublimation theory by the knowledge-based transformation to the ability to type, highlight the differential equationsand differential equations in mathematical modeling efforts made outstanding and significant contribution in various fields.Keywords: ordinary differential equations, mathematical modeling, mathematical model.目 录摘要................................................................................................................................11、 绪论..................................................................