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 brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held...Problem 2E:
A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held...Problem 5E:
A swimming pool whose volume is 10,000 gal contains water that is 0.01% chlorine. Starting at t = 0,...Problem 6E:
The air in a small room 12 ft by 8 ft by 8 ft is 3% carbon monoxide. Starting at t = 0, fresh air...Problem 8E:
A tank initially contains s0 lb of salt dissolved in 200 gal of water, where s0 is some positive...Problem 9E:
In 1990 the Department of Natural Resources released 1000 splake (a crossbreed of fish) into a lake....Problem 10E:
Use a sketch of the phase line (see Project B, Chapter 1, page 33) to argue that any solution to the...Problem 11E:
Use a sketch of the phase line (see Project B, Chapter 1) to argue that any solution to the logistic...Problem 13E:
In Problem 9, suppose we have the additional information that the population of splake in 2004 was...Problem 15E:
In Problem 14, suppose we have the additional information that the population of alligators on the...Problem 18E:
Using the U.S. census data in Table 3.1 for 1900, 1920, and 1940 to determine parameters in the...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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