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一阶微分方程的初等积分法_图文

第二章 一阶微分方程的初等积分法

Integrated Method of First Order ODE

Ch.2 Integrated Method of First Order ODE

方程类型/Classifications/:

y? ? f ( x, y )

F ( x, y, y?) ? 0

初等积分法/Integrated Method/:通过积分求解常 微分方程的一种方法,其特点是微分方程的解可 用初等函数以及初等函数的积分形式来表示。

本章内容/Main Contents/
?§2.1 变量分离方程与变量变换 ?§2.2 线性方程与常数变易法

?§2.3 恰当方程与积分因子
?§2.4 一阶隐式方程与参数表示

Ch.2 Integrated Method of First Order ODE

本章要求/Requirements/ 熟练掌握一些重要的常见的
一阶方程的类型及其求解方法。

?注意: 正确判断方程的类型

本章目录/Main Contents/
?§2.1 变量分离方程与变量变换 ?§2.2 线性方程与常数变易法

?§2.3 恰当方程与积分因子
?§2.4 一阶隐式方程与参数表示


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