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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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