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Overview
Solution Curves without a Solution
ANumerical Method
Separable Equations
Linear Equations
Summary
Chapter 2: First-Order Differential Equations –
Part 1
王奕翔
Department of Electrical Engineering
National Taiwan University
ihwang@ntu.edu.tw
September 17, 2013
王奕翔 DE Lecture 2
Overview
Solution Curves without a Solution
ANumerical Method
Separable Equations
Linear Equations
Summary
1 Overview
2 Solution Curves without a Solution
3 A Numerical Method
4 Separable Equations
5 Linear Equations
Method
Discontinuous Coefficients
Solutions/Functions Defined by Integrals
6 Summary
王奕翔 DE Lecture 2
Overview
Solution Curves without a Solution
ANumerical Method
Separable Equations
Linear Equations
Summary
1 Overview
2 Solution Curves without a Solution
3 A Numerical Method
4 Separable Equations
5 Linear Equations
Method
Discontinuous Coefficients
Solutions/Functions Defined by Integrals
6 Summary
王奕翔 DE Lecture 2
Overview
Solution Curves without a Solution
ANumerical Method
Separable Equations
Linear Equations
Summary
First-Order Differential Equation
Throughout Chapter 2, we focus on solving the first-order ODE:
Problem
Find y = ϕ(x) satisfying
dy = f(x,y), subject to y(x ) = y (1)
0 0
dx
王奕翔 DE Lecture 2
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