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:
In Problems 16, determine whether the given differential equation is separable. 1. dydxsin(x+y)=0Problem 2E:
In Problems 16, determine whether the given differential equation is separable. 2. dydx=4y23y+1Problem 3E:
In Problems 16, determine whether the given differential equation is separable. 3. dsdt=tln(s2t)+8t2Problem 4E:
In Problems 16, determine whether the given differential equation is separable. 4. dydx=yex+yx2+2Problem 5E:
In Problems 16, determine whether the given differential equation is separable. 5. (xy2 + 3y2)dy ...Problem 6E:
In Problems 16, determine whether the given differential equation is separable. 6. s2+dsdt=s+1stProblem 10E:
In Problems 716, solve the equation. 10. dydx=xy21+xProblem 14E:
In Problems 716, solve the equation. 14. dxdtx3=xProblem 28E:
Sketch the solution to the initial value problem dydt=2y2yt,y(0)=3 and determine its maximum value.Problem 29E:
Uniqueness Questions. In Chapter 1 we indicated that in applications most initial value problems...Problem 30E:
As stated in this section, the separation of equation (2) on page 42 requires division by p(y), and...Problem 33E:
Mixing. Suppose a brine containing 0.3 kilogram (kg) of salt per liter (L) runs into a tank...Problem 34E:
Newtons Law of Cooling. According to Newtons law of cooling, if an object at temperature T is...Problem 37E:
Compound Interest. If P(t) is the amount of dollars in a savings bank account that pays a yearly...Problem 38E:
Free Fall. In Section 2.1, we discussed a model for an object falling toward Earth. Assuming that...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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