Elementary Differential Equations and B...11th EditionBoyce Publisher: WILEYISBN: 9781119381648
Elementary Differential Equations and B...
Solutions for Elementary Differential Equations and Boundary Value Problems, Enhanced
Problem 5P:
Undetermined Coefficients. Here is an alternative way to solve the equation
(31)
Solve the simpler...Problem 9P:
Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is...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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Elementary Differential Equations and Boundary Value Problems 11e, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes inte
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