ELEMENTARY DIFF.EQU.BOUND VALUE11th EditionBoyce Publisher: JOHN WILEY+SONS INC.ISBN: 9781119447542
ELEMENTARY DIFF.EQU.BOUND VALUE
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Browse All Chapters of This Textbook
Chapter 1.1 - Some Basic Mathematical Models; Direction FieldsChapter 1.2 - Solutions Of Some Differential EquationsChapter 1.3 - Classification Of Differential EquationsChapter 2 - First Order Differential EquationsChapter 2.1 - Linear Equations; Method Of Integrating FactorsChapter 2.2 - Separable EquationsChapter 2.3 - Modeling With First Order EquationsChapter 2.4 - Differences Between Linear And Nonlinear EquationsChapter 2.5 - Autonomous Equations And Population DynamicsChapter 2.6 - Exact Equations And Integrating Factors
Chapter 2.7 - Numerical Approximations: Euler's MethodChapter 2.8 - The Existence And Uniqueness TheoremChapter 2.9 - First Order Differential EquationsChapter 3.1 - Homogeneous Equations With Constant CoefficientsChapter 3.2 - Solutions Of Linear Homogeneous Equations; The WronskianChapter 3.3 - Complex Roots Of The Characteristic EquationChapter 3.4 - Repeated Roots; Reduction Of OrderChapter 3.5 - Nonhomogeneous Equations; Method Of Undetermined CoefficientsChapter 3.6 - Variation Of ParametersChapter 3.7 - Mechanical And Electrical VibrationsChapter 3.8 - Forced VibrationsChapter 4.1 - General Theory Of Nth Order Linear EquationsChapter 4.2 - Homogeneous Equations With Constant CoefficientsChapter 4.3 - The Method Of Undetermined CoefficientsChapter 4.4 - The Method Of Variation Of ParametersChapter 5.1 - Review Of Power SeriesChapter 5.2 - Series Solutions Near An Ordinary Point, Part IChapter 5.3 - Series Solutions Near An Ordinary Point, Part IiChapter 5.4 - Euler Equations; Regular Singular PointsChapter 5.5 - Series Solutions Near A Regular Singular Point, Part IChapter 5.6 - Series Solutions Near A Regular Singular Point, Part IiChapter 5.7 - Bessel's EquationChapter 6.1 - Definition Of The Laplace TransformChapter 6.2 - Solution Of Initial Value ProblemChapter 6.3 - Step FunctionsChapter 6.4 - Differential Equations With Discontinuous Forcing FunctionsChapter 6.5 - Impulse FunctionsChapter 6.6 - The Convolution IntegralChapter 7.1 - IntroductionChapter 7.2 - MatricesChapter 7.3 - Systems Of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigen VectorsChapter 7.4 - Basic Theory Of Systems Of First Order Linear EquationsChapter 7.5 - Homogeneous Linear Systems With Constant CoefficientsChapter 7.6 - Complex-valued EigenvaluesChapter 7.7 - Fundamental MatricesChapter 7.8 - Repeated EigenvaluesChapter 7.9 - Nonhomogeneous Linear SystemsChapter 8.1 - The Euler Of Tangent Line MethodChapter 8.2 - Improvements On The Euler MethodChapter 8.3 - The Runge-kutta MethodChapter 8.4 - Multistep MethodsChapter 8.5 - Systems Of First-order EquationsChapter 8.6 - More On Errors; StabilityChapter 9.1 - The Phase Plane: Linear SystemsChapter 9.2 - Autonomous Equations And StabilityChapter 9.3 - Locally Linear SystemsChapter 9.4 - Competing SpeciesChapter 9.5 - Predator-prey EquationsChapter 9.6 - Liapunov's Second MethodChapter 9.7 - Periodic Solutions And Limit CyclesChapter 9.8 - Chaos And Strange Attractors: The Lorenz EquationsChapter 10.1 - Two-point Boundary Value ProblemsChapter 10.2 - Fourier SeriesChapter 10.3 - The Fourier Convergence ThoeremChapter 10.4 - Even And Odd FunctionsChapter 10.5 - Separation Of Variables; Heat Conduction In A RodChapter 10.6 - Other Heat Conduction ProblemsChapter 10.7 - The Wave Equation: Vibrations Of An Elastic StringChapter 10.8 - Laplace's EquationChapter 11.1 - The Occurrence Of Two-point Boundary Value ProblemChapter 11.2 - Sturm-liouville Boundary Value ProblemsChapter 11.3 - Nonhomogeneous Boundary Value ProblemsChapter 11.4 - Singular Sturm-liouville ProblemsChapter 11.5 - Further Remarks On The Method Of Separation Of Vaiables: A Bessel Series ExpansionChapter 11.6 - Series Of Orthogonal Functions: Mean Convergence
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