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Differential equations with MATLAB : updated for MATLAB 7 and Simulink 6

Brian R. Hunt

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Abstract

1 Introduction 2 Getting Started with MATLAB 3 Doing Mathematics with MATLAB 4 Using M-files and M-books 5 Solutions of Differential Equations 6 A Qualitative Approach to Differential Equations 7 Numerical Methods 8 Features of MATLAB 9 Using Simulink 10 Solving and Analyzing Second Order Linear Equations 11 Series Solutions 12 Laplace Transforms 13 Higher Order Equations and Systems of First Order Equations 14 Qualitative Theory for Systems of Differential Equations Glossary Sample Solutions Index

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1 Introduction 2 Getting Started with MATLAB 3 Doing Mathematics with MATLAB 4 Using M-files and M-books 5 Solutions of Differential Equations 6 A Qualitative Approach to Differential Equations 7 Numerical Methods 8 Features of MATLAB 9 Using Simulink 10 Solving and Analyzing Second Order Linear Equations 11 Series Solutions 12 Laplace Transforms 13 Higher Order Equations and Systems of First Order Equations 14 Qualitative Theory for Systems of Differential Equations Glossary Sample Solutions Index

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Available abstract

1 Introduction 2 Getting Started with MATLAB 3 Doing Mathematics with MATLAB 4 Using M-files and M-books 5 Solutions of Differential Equations 6 A Qualitative Approach to Differential Equations 7 Numerical Methods 8 Features of MATLAB 9 Using Simulink 10 Solving and Analyzing Second Order Linear Equations 11 Series Solutions 12 Laplace Transforms 13 Higher Order Equations and Systems of First Order Equations 14 Qualitative Theory for Systems of Differential Equations Glossary Sample Solutions Index

Key concepts: MATLAB, Differential equation, Computer science, Laplace transform, Glossary, Applied mathematics, Numerical partial differential equations, Mathematics

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