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DE_First_Order - DIFFERENTIAL EQUATIONS PaulDawkins...

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DIFFERENTIAL EQUATIONS First Order Differential Equations Paul Dawkins
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Differential Equations © 2007 Paul Dawkins i http://tutorial.math.lamar.edu/terms.aspx Table of Contents Preface ............................................................................................................................................ 2 First Order Differential Equations .............................................................................................. 3 Introduction ................................................................................................................................................ 3 Linear Differential Equations ..................................................................................................................... 4 Separable Differential Equations ............................................................................................................. 17 Exact Differential Equations .................................................................................................................... 28 Bernoulli Differential Equations .............................................................................................................. 39 Substitutions ............................................................................................................................................. 46 Intervals of Validity ................................................................................................................................. 55 Modeling with First Order Differential Equations ................................................................................... 60 Equilibrium Solutions .............................................................................................................................. 73 Euler’s Method ......................................................................................................................................... 77
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