Differential Equations with Boundary-Va...9th EditionDennis G. Zill Publisher: Cengage LearningISBN: 9781305965799
Differential Equations with Boundary-Va...
Solutions for Differential Equations with Boundary-Value Problems (MindTap Course List)
Problem 1E:
In Problems 1 and 2, y = 1/(1 + c1ex) is a one-parameter family of solutions of the first-order DE y...Problem 2E:
In Problems 1 and 2, y = 1/(1 + c1ex) is a one-parameter family of solutions of the first-order DE y...Problem 3E:
In Problems 36, y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y + 2xy2...Problem 4E:
In Problems 36, y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y + 2xy2...Problem 5E:
In Problems 36, y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y + 2xy2...Problem 6E:
In Problems 36, y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y + 2xy2...Problem 7E:
In Problems 710, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order...Problem 8E:
In Problems 710, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order...Problem 9E:
In Problems 710, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order...Problem 10E:
In Problems 710, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order...Problem 11E:
In Problems 1114, y = c1ex + c2ex is a two-parameter family of solutions of the second-order DE y y...Problem 12E:
In Problems 1114, y = c1ex + c2ex is a two-parameter family of solutions of the second-order DE y y...Problem 13E:
In Problems 1114, y = c1ex + c2ex is a two-parameter family of solutions of the second-order DE y y...Problem 14E:
In Problems 1114, y = c1ex + c2ex is a two-parameter family of solutions of the second-order DE y y...Problem 15E:
In Problems 15 and 16 determine by inspection at least two solutions of the given first-order IVP....Problem 16E:
In Problems 15 and 16 determine by inspection at least two solutions of the given first-order IVP....Problem 17E:
In Problems 1724 determine a region of the xy-plane for which the given differential equation would...Problem 18E:
In Problems 1724 determine a region of the xy-plane for which the given differential equation would...Problem 19E:
In Problems 1724 determine a region of the xy-plane for which the given differential equation would...Problem 21E:
In Problems 1724 determine a region of the xy-plane for which the given differential equation would...Problem 24E:
In Problems 1724 determine a region of the xy-plane for which the given differential equation would...Problem 25E:
In Problems 2528 determine whether Theorem 1.2.1 guarantees that the differential equation y=y29...Problem 26E:
In Problems 2528 determine whether Theorem 1.2.1 guarantees that the differential equation y=y29...Problem 28E:
In Problems 2528 determine whether Theorem 1.2.1 guarantees that the differential equation y=y29...Problem 29E:
(a) By inspection find a one-parameter family of solutions of the differential equation xy = y....Problem 30E:
(a) Verify that y = tan (x + c) is a one-parameter family of solutions of the differential equation...Problem 31E:
(a) Verify that y = 1 /(x + c) is a one-parameter family of solutions of the differential equation...Problem 33E:
(a) Verify that 3x2 y2 = c is a one-parameter family of solutions of the differential equation y...Problem 35E:
In Problems 3538 the graph of a member of a family of solutions of a second-order differential...Problem 36E:
In Problems 3538 the graph of a member of a family of solutions of a second-order differential...Problem 37E:
In Problems 3538 the graph of a member of a family of solutions of a second-order differential...Problem 38E:
In Problems 3538 the graph of a member of a family of solutions of a second-order differential...Problem 40E:
In Problems 3944, y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the...Problem 41E:
In Problems 3944, y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the...Problem 42E:
In Problems 3944, y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the...Problem 44E:
In Problems 3944, y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the...Problem 46E:
In Problems 45 and 46 use Problem 55 in Exercises 1.1 and (2) and (3) of this section. Find a...Problem 47E:
Consider the initial-value problem y = x 2y, y(0) = 12. Determine which of the two curves shown in...Browse All Chapters of This Textbook
Chapter 1 - Introduction To Differential EquationsChapter 1.1 - Definitions And TerminologyChapter 1.2 - Initial-value ProblemsChapter 1.3 - Differential Equations As Mathematical ModelsChapter 2 - First-order Differential EquationsChapter 2.1 - Solution Curves Without A SolutionChapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Solutions By Substitutions
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.
Sample Solutions for this Textbook
We offer sample solutions for Differential Equations with Boundary-Value Problems (MindTap Course List) homework problems. See examples below:
Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1REGiven: The linear differential equation is y′=2lnxy such that y(1)=2 and the value of step size is...
The given statement is “The second-order differential equation x″+f(x′)+g(x)=0 can be written as a...Chapter 11, Problem 1REChapter 12, Problem 1REChapter 13, Problem 1REChapter 14, Problem 1REChapter 15, Problem 1REGiven: The quantity is Γ(6). Calculation: The quantity is Γ(6). It is known that, the value of gamma...Given that the matrix A is [45−69] and B is [−268−10]. It is known that two or more matrices can be...
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Differential Equations With Boundary-value Problems
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Differential Equations with Boundary-Value Problems
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Differential Equations with Computer Lab Experiments
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