牛顿法求解常微分方程的matlab源程序，希望能用

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE). This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques. Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers. This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

介绍求解常微分方程组的龙格库塔数值方法原理及其C代码示例

《Ordinary Differential Equations》——William A. Adkins；图书教材；常微分方程

《常微分方程》复习资料.pdf

为了协调Richards方程数值模型在精度、稳定性和计算效率之间的矛盾，对时间步长进行优化控制，发展了一种变步长的计算模型。采用van Genu chten模型，将描述土壤水分运动的Richards方程（为偏微分方程）在空间上半离散后得到常微分方程组，借助于该求解器求解。针对以含水率θ为变量的Richards方程进行了试验，常微分方程组求解采用CVODE求解器，并对土壤水分特征曲线和水量平衡进行了检验。结果表明，该模型具有较高的计算精度、求解效率和稳定性。

常微分方程（Arnold V.I. Ordinary differential 20equations MIT.djvu 英文）

关于对中国人口的预测，建立起常微分方程模型，并给出解常微分方程的解，最后实现对中国人口的预测。

常微分方程习题2.1dy1.2xy,并求满足初始条件x=0,y=1的特解.dx解对原式进行变量分离得1222,两边同时积分得ln+,即x把0,1代入得dyxdxyxcycexyy2c1,故它的特解为y

目录如下： §7.0 引言 §7.1 Euler 法 §7.2 Runge-Kutta法 习题七 第七章答案