MATLAB Differential Equations - César Pérez López.pdf

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MATLAB Differential
Equations
César Pérez López
MATLAB Differential Equations
Copyright © 2014 by César Pérez López
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ISBN-13 (pbk): 978-1-4842-0311-8
ISBN-13 (electronic): 978-1-4842-0310-1
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Contents at a Glance
About the Author �½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½ix
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Chapter 1: Introducing MATLAB and the MATLAB Working Environment �½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½1
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Chapter 2: First Order Differential Equations�½ Exact Equations, Separation of Variables,
Homogeneous and Linear Equations�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½
33
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Chapter 3: Higher Order Differential Equations�½ The Laplace Transform and
Special Types of Equations �½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½45
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Chapter 4: Differential Equations Via Approximation Methods �½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½61
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Chapter 5: Systems of Differential Equations and Finite Difference Equations �½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½67
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Chapter 6: Numerical Calclus with MATLAB�½ Applications to Differential Equations �½�½�½�½�½�½�½�½
73
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Chapter 7: Ordinary and Partial Differential Equations with Initial and
Boundary Values�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½101
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Chapter 8: Symbolic Differential and Integral Calculus�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½�½125
iii

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