Fundamentals of Differential Equations ...9th EditionNagle Publisher: PEARSONISBN: 9780134768748
Fundamentals of Differential Equations ...
Solutions for Fundamentals of Differential Equations plus MyLab Math with Pearson eText -- Title-Specific Access Card Package (9th Edition) (Nagle, Saff & Snider, Fundamentals of Differential Equations)
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
Book Details
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab Math is available for this text, providing online homework with immediate feedback, the complete eText, and more.
Sample Solutions for this Textbook
We offer sample solutions for Fundamentals of Differential Equations plus MyLab Math with Pearson eText -- Title-Specific Access Card Package (9th Edition) (Nagle, Saff & Snider, Fundamentals of Differential Equations) homework problems. See examples below:
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