outlines_chp1_sections_f10

# outlines_chp1_sections_f10 - 1.1Outline I...

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Unformatted text preview: 1.1Outline I. DefinitionofDifferentialEquation II. Examples A.FallingObject B.Population C.Problems III. DirectionField GraphicalRepresentationof Solutions A.Drawbyhand B.Maple/Calculator C.Problems 1.2Outline I. AnalyticSolutions BasicIdeas A.Definitions B.ChainRule C.UndeterminedCoefficients II. Examples 1.3Outline I. NumericalApproximations B.Comparisonwithexact solutions 1.4Outline I. II. III. IV. V. Ordinaryvs PartialDifferentialEquations SystemsofDifferentialEquations OrderofaDifferentialEquation Linearvs NonlinearDifferentialEquations ImportantQuestions A.Doesadifferentialequationhaveasolution (existence)? B.Isthereonlyonesolution(uniqueness)? C.Ifasolutionexists,canitbefound? ...
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• Spring '08
• STAFF
• Direction0200Field0200 Graphical0200Representation0200of0200 Solutions, I. Analytic0200Solutions0200 Basic0200Ideas, I. Numerical0200Approximations B.02000200Comparison0200with0200exact0200, V. Ordinary0200vs Partial0200Differential0200Equations, Systems0200of0200Differential0200Equations Order0200of0200a0200Differential0200Equation Linear0200vs, Nonlinear0200Differential0200Equations Important0200Questions A.02000200Does0200a0200differential0200equation0200have0200a0200solution0200

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