Differential Equations with Boundary-Value Problems (MindTap Course List) - 9th Edition - by Dennis G. Zill - ISBN 9781305965799
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Differential Equations with Boundary-Va...
9th Edition
Dennis G. Zill
Publisher: Cengage Learning
ISBN: 9781305965799

Solutions for Differential Equations with Boundary-Value Problems (MindTap Course List)

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Chapter 2.6 - A Numerical MethodChapter 3 - Modeling With First-order Differential EquationsChapter 3.1 - Linear ModelsChapter 3.2 - Nonlinear ModelsChapter 3.3 - Modeling With Systems Of First-order DesChapter 4 - Higher-order Differential EquationsChapter 4.1 - Preliminary Theory-linear EquationsChapter 4.2 - Reduction Of OrderChapter 4.3 - Homogeneous Linear Equations With Constant CoefficientsChapter 4.4 - Undetermined Coefficients-superposition ApproachChapter 4.5 - Undetermined Coefficients-annihilator ApproachChapter 4.6 - Variation Of ParametersChapter 4.7 - Cauchy-euler EquationsChapter 4.8 - Green's FunctionsChapter 4.9 - Solving Systems Of Linear Des By EliminationChapter 4.10 - Nonlinear Differential EquationsChapter 5 - Modeling With Higher-order Differential EquationsChapter 5.1 - Linear Models: Initial-value ProblemsChapter 5.2 - Linear Models: Boundary-value ProblemsChapter 5.3 - Nonlinear ModelsChapter 6 - Series Solutions Of Linear EquationsChapter 6.1 - Review Of Power SeriesChapter 6.2 - Solutions About Ordinary PointsChapter 6.3 - Solutions About Singular PointsChapter 6.4 - Special FunctionsChapter 7 - The Laplace TransformChapter 7.1 - Definition Of The Laplace TransformChapter 7.2 - Inverse Transforms And Transforms Of DerivativesChapter 7.3 - Operational Properties IChapter 7.4 - Operational Properties IiChapter 7.5 - The Dirac Delta FunctionChapter 7.6 - Systems Of Linear Differential EquationsChapter 8 - Systems Of Linear First-order Differential EquationsChapter 8.1 - Preliminary Theory-linear SystemsChapter 8.2 - Homogeneous Linear SystemsChapter 8.3 - Nonhomogeneous Linear SystemsChapter 8.4 - Matrix ExponentialChapter 9 - Numerical Solutions Of Ordinary Differential EquationsChapter 9.1 - Euler Methods And Error AnalysisChapter 9.2 - Runge-kutta MethodsChapter 9.3 - Multistep MethodsChapter 9.4 - Higher-order Equations And SystemsChapter 9.5 - Second-order Boundary-value ProblemsChapter 10 - Systems Of Nonlinear First-order Differential EquationsChapter 10.1 - Autonomous SystemsChapter 10.2 - Stability Of Linear SystemsChapter 10.3 - Linearization And Local StabilityChapter 10.4 - Autonomous Systems As Mathematical ModelsChapter 11 - Fourier SeriesChapter 11.1 - Orthogonal FunctionsChapter 11.2 - Fourier SeriesChapter 11.3 - Fourier Cosine And Sine SeriesChapter 11.4 - Sturm-liouville ProblemChapter 11.5 - Bessel And Legendre SeriesChapter 12 - Boundary-value Problems In Rectangular CoordinatesChapter 12.1 - Separable Partial Differential EquationsChapter 12.2 - Classical Pdes And Boundary-value ProblemsChapter 12.3 - Heat EquationChapter 12.4 - Wave EquationChapter 12.5 - Laplace's EquationChapter 12.6 - Nonhomogeneous Boundary-value ProblemsChapter 12.7 - Orthogonal Series ExpansionsChapter 12.8 - Higher-dimensional ProblemsChapter 13 - Boundary-value Problems In Other Coordinate SystemsChapter 13.1 - Polar CoordinatesChapter 13.2 - Polar And Cylindrical CoordinatesChapter 13.3 - Spherical CoordinatesChapter 14 - Integral TransformsChapter 14.1 - Error FunctionChapter 14.2 - Laplace TransformChapter 14.3 - Fourier IntegralChapter 14.4 - Fourier TransformsChapter 15 - Fourier TransformsChapter 15.1 - Laplace's EquationChapter A - Integral-defined FunctionsChapter B - Matrices

Book Details

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of Differential Equations. This proven text speaks to students of varied majors through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, and definitions. The book provides a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduction to boundary-value problems and partial Differential Equations written in a straightforward, readable, and helpful style.

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