Fundamentals of Differential Equations ...9th EditionR. Kent Nagle, Edward B. Saff, Arthur David Snider Publisher: PEARSONISBN: 9780321977069
Fundamentals of Differential Equations ...
Solutions for Fundamentals of Differential Equations (9th Edition)
Problem 1E:
(a) Show that (x) = x2 is an explicit solution to xdydx = 2y on the interval (, ). (b) Show that (x)...Problem 2E:
(a) Show that y2 + x 3 = 0 is an implicit solution to dy/dx = 1/(2y) on the interval (, 3). (b)...Problem 3E:
In Problems 38, determine whether the given function is a solution to the given differential...Problem 4E:
In Problems 38, determine whether the given function is a solution to the given differential...Problem 5E:
In Problems 38, determine whether the given function is a solution to the given differential...Problem 6E:
In Problems 38, determine whether the given function is a solution to the given differential...Problem 7E:
In Problems 38, determine whether the given function is a solution to the given differential...Problem 8E:
In Problems 38, determine whether the given function is a solution to the given differential...Problem 9E:
In Problems 913, determine whether the given relation is an implicit solution to the given...Problem 10E:
In Problems 913, determine whether the given relation is an implicit solution to the given...Problem 11E:
In Problems 913, determine whether the given relation is an implicit solution to the given...Problem 12E:
In Problems 913, determine whether the given relation is an implicit solution to the given...Problem 13E:
In Problems 913, determine whether the given relation is an implicit solution to the given...Problem 15E:
Verify that (x) = 2/(1 cex), where c is an arbitrary constant, is a one-parameter family of...Problem 16E:
Verify that x2 + cy2 = 1, where c is an arbitrary nonzero constant, is a one-parameter family of...Problem 17E:
Show that (x) = Ce3x + 1 is a solution to dy/dx 3y = 3 for any choice of the constant C. Thus, Ce3x...Problem 18E:
Let c 0. Show that the function (x) = (c2 x2) 1 is a solution to the initial value problem dy / dx...Problem 20E:
Determine for which values of m the function (x) = emx is a solution to the given equation. (a)...Problem 24E:
In Problem 2328, determine whether Theorem 1 implies that the given initial value problem has a...Problem 25E:
In Problem 2328, determine whether Theorem 1 implies that the given initial value problem has a...Problem 26E:
(a) Find the total area between f(x) = x3 x and the x-axis for 0 x 3. (b) Find 03f(x)dx. (c) Are...Problem 27E:
In Problem 2328, determine whether Theorem 1 implies that the given initial value problem has a...Problem 28E:
In Problem 2328, determine whether Theorem 1 implies that the given initial value problem has a...Browse All Chapters of This Textbook
Chapter 1 - IntroductionChapter 1.1 - BackgroundChapter 1.2 - Solutions And Initial Value ProblemsChapter 1.3 - Direction FieldsChapter 1.4 - The Approximation Method Of EulerChapter 2 - First-order Differential EquationsChapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Special Integrating Factors
Chapter 2.6 - Substitutions And TransformationsChapter 3.2 - Compartmental AnalysisChapter 3.3 - Heating And Cooling Of BuildingsChapter 3.4 - Newtonian MechanicsChapter 3.5 - Electrical CircuitsChapter 3.6 - Improved Euler's MethodChapter 3.7 - Higher-order Numerical Methods: Taylor And Runge-kuttaChapter 4 - Linear Second-order EquationsChapter 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 5.2 - Elimination Method For Systems With Constant CoefficientsChapter 6.1 - Basic Theory Of Linear Differential EquationsChapter 7.2 - Definition Of The Laplace TransformChapter 7.4 - Inverse Laplace TransformChapter 7.5 - Solving Initial Value ProblemsChapter 7.6 - Transforms Of Discontinuous FunctionsChapter 7.8 - ConvolutionChapter 7.10 - Solving Linear Systems With Laplace TransformsChapter 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 8.6 - Method Of FrobeniusChapter 9.4 - Linear Systems In Normal FormChapter 9.5 - Homogeneous Linear Systems With Constant CoefficientsChapter 10.6 - The Wave Equation
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