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picture1_Solving Equations Pdf 175398 | De Lecture 02 Handout V3


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File: Solving Equations Pdf 175398 | De Lecture 02 Handout V3
overview solution curves without a solution anumerical method separable equations linear equations summary chapter 2 first order dierential equations part 1 department of electrical engineering national taiwan university ihwang ntu ...

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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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...Overview solution curves without a anumerical method separable equations linear summary chapter first order dierential part department of electrical engineering national taiwan university ihwang ntu edu tw september de lecture numerical discontinuous coecients solutions functions dened by integrals equation throughout we focus on solving the rst ode problem find y x satisfying dy f subject to dx...

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