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Fundamentals of Differential Equations ...7th EditionNagle, R. Kent Publisher: Pearson Education, LimitedISBN: 9780321977106
Fundamentals of Differential Equations ...
Solutions for Fundamentals of Differential Equations and Boundary Value Problems
Browse All Chapters of This Textbook
Chapter 1.1 - BackgroundChapter 1.2 - Solutions And Initial Value ProblemsChapter 1.3 - Direction FieldsChapter 1.4 - The Approximation Method Of EulerChapter 1.RP - Review Problems For Chapter 1Chapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Special Integrating FactorsChapter 2.6 - Substitutions And Transformations
Chapter 2.RP - Review Problems For Chapter 2Chapter 3.2 - Compartmental AnalysisChapter 3.3 - Heating And Cooling Of BuildingsChapter 3.4 - Newtonian MechanicsChapter 3.5 - Electrical CircuitsChapter 3.6 - Numerical Methods: A Closer Look At Euler’s AlgorithmChapter 3.7 - Higher-order Numerical Methods: Taylor And Runge–kuttaChapter 4.1 - Introduction: The Mass-spring OscillatorChapter 4.2 - Homogeneous Linear Equations: The General SolutionChapter 4.3 - Auxiliary Equations With Complex RootsChapter 4.4 - Nonhomogeneous Equations: The Method Of Undetermined CoefficientsChapter 4.5 - The Superposition Principle And Undetermined Coefficients RevisitedChapter 4.6 - Variation Of ParametersChapter 4.7 - Variable-coefficient EquationsChapter 4.8 - Qualitative Considerations For Variable-coefficient And Nonlinear EquationsChapter 4.9 - A Closer Look At Free Mechanical VibrationsChapter 4.10 - A Closer Look At Forced Mechanical VibrationsChapter 4.RP - Review Problems For Chapter 4Chapter 5.2 - Differential Operators And The Elimination Method For SystemsChapter 5.3 - Solving Systems And Higher-order Equations NumericallyChapter 5.4 - Introduction To The Phase PlaneChapter 5.5 - Applications To Biomathematics: Epidemic And Tumor Growth ModelsChapter 5.6 - Coupled Mass-spring SystemsChapter 5.7 - Electrical SystemsChapter 5.8 - Dynamical Systems, Poincaré Maps, And ChaosChapter 5.RP - Review Problems For Chapter 5Chapter 6.1 - Basic Theory Of Linear Differential EquationsChapter 6.2 - Homogeneous Linear Equations With Constant CoefficientsChapter 6.3 - Undetermined Coefficients And The Annihilator MethodChapter 6.4 - Method Of Variation Of ParametersChapter 6.RP - Review Problems For Chapter 6Chapter 7.2 - Definition Of The Laplace TransformChapter 7.3 - Properties Of The Laplace TransformChapter 7.4 - Inverse Laplace TransformChapter 7.5 - Solving Initial Value ProblemsChapter 7.6 - Transforms Of Discontinuous FunctionsChapter 7.7 - Transforms Of Periodic And Power FunctionsChapter 7.8 - ConvolutionChapter 7.9 - Impulses And The Dirac Delta FunctionChapter 7.10 - Solving Linear Systems With Laplace TransformsChapter 7.RP - Review Problems For Chapter 7Chapter 8.1 - Introduction: The Taylor Polynomial ApproximationChapter 8.2 - Power Series And Analytic FunctionsChapter 8.3 - Power Series Solutions To Linear Differential EquationsChapter 8.4 - Equations With Analytic CoefficientsChapter 8.5 - Cauchy–euler (equidimensional) EquationsChapter 8.6 - Method Of FrobeniusChapter 8.7 - Finding A Second Linearly Independent SolutionChapter 8.8 - Special FunctionsChapter 8.RP - Review Problems For ChapterChapter 9.1 - IntroductionChapter 9.2 - Review 1: Linear Algebraic EquationsChapter 9.3 - Review 2: Matrices And VectorsChapter 9.4 - Linear Systems In Normal FormChapter 9.5 - Homogeneous Linear Systems With Constant CoefficientsChapter 9.6 - Complex EigenvaluesChapter 9.7 - Nonhomogeneous Linear SystemsChapter 9.8 - The Matrix Exponential FunctionChapter 9.RP - Review Problems For Chapter 9Chapter 10.2 - Method Of Separation Of VariablesChapter 10.3 - Fourier SeriesChapter 10.4 - Fourier Cosine And Sine SeriesChapter 10.5 - The Heat EquationChapter 10.6 - The Wave EquationChapter 10.7 - Laplace’s EquationChapter 11.2 - Eigenvalues And EigenfunctionsChapter 11.3 - Regular Sturm–liouville Boundary Value ProblemsChapter 11.4 - Nonhomogeneous Boundary Value Problems And The Fredholm AlternativeChapter 11.5 - Solution By Eigenfunction ExpansionChapter 11.6 - Green’s FunctionsChapter 11.7 - Singular Sturm–liouville Boundary Value ProblemsChapter 11.8 - Oscillation And Comparison TheoryChapter 11.RP - Review Problems For Chapter 11Chapter 12.2 - Linear Systems In The PlaneChapter 12.3 - Almost Linear SystemsChapter 12.4 - Energy MethodsChapter 12.5 - Lyapunov’s Direct MethodChapter 12.6 - Limit Cycles And Periodic SolutionsChapter 12.7 - Stability Of Higher-dimensional SystemsChapter 12.8 - Neurons And The Fitzhugh–nagumo EquationsChapter 12.RP - Review Problems For Chapter 12Chapter 13.1 - Introduction: Successive ApproximationsChapter 13.2 - Picard’s Existence And Uniqueness TheoremChapter 13.3 - Existence Of Solutions Of Linear EquationsChapter 13.4 - Continuous Dependence Of SolutionsChapter 13.RP - Review Problems For Chapter 13Chapter A - Appendix A Review Of Integration Techniques
Sample Solutions for this Textbook
We offer sample solutions for Fundamentals of Differential Equations and Boundary Value Problems homework problems. See examples below:
Given: 5dxdt+5x2+3=0 Calculation: Independent and dependent variables: If an equation involves the...Formula used: The formula of “Integration by parts” is given by,...Formula used: The recursive formulas for Taylor method of order second is,...Given: y′′+8y′−9y=0 Approach: The differential equation y′′+8y′−9y=0 (1) is homogeneous. The...Given: System of differential equations is, x′+y″+y=0,x″+y′=0 Approach: Use elimination method for...Given: The given differential equation is y(4)−(ln x)y″+xy′+2y=cos3x Approach: Theorem 1 state that:...Given: The function is f(t)={3, 0≤t≤26−t, t>2 Approach: L{f}(s)=∫0∞e−stf(t)dt Calculation: The...Find the first four nonzero terms in the Taylor polynomial approximation for the given initial value...In Problems 1-4, find a general solution for the system x(t)=Ax(t), where A is given. A=[6321]
In Problems 1-5, find a formal solution to the given boundary value problem....Calculation: The given eigenvalue problem is, y″+6y′+λy=0 ...(1) The boundary values are given as,...Given: The systems of differential equations: dxdt=−x−4y,dydt=−2x−7y Approach: 1) Critical points...Given: The equation is, x=2x3+13x2−1 The starting value is x0=1 Approach: The procedure to determine...
More Editions of This Book
Corresponding editions of this textbook are also available below:
Fundamentals of Differential Equations and Boundary Value Problems - 6th Edition
6th Edition
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