First Course in Differential Equations ...11th EditionZILL Publisher: CENGAGE LISBN: 9781305965775
First Course in Differential Equations ...
Solutions for First Course in Differential Equations (Instructor's)
Problem 1E:
Each DE in Problems 114 is homogeneous. In Problems 110 solve the given differential equation by...Problem 2E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 2. (x +...Problem 3E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 3. x dx...Problem 4E:
In Problems 1-10 solve the given differential equation by using an appropriate substitution. 4. y dx...Problem 5E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 5. (y2 +...Problem 6E:
In Problems 1-10 solve the given differential equation by using an appropriate substitution. 6. (y2...Problem 7E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 7....Problem 8E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 8....Problem 9E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 9....Problem 10E:
In Problems 110 solve the given differential equation by using an appropriate substitution. 10....Problem 13E:
In Problems 1114 solve the given initial-value problem. 13. (x + yey/x) dx xey/x dy = 0, y(1) = 0Problem 14E:
In Problems 1114 solve the given initial-value problem. 14. y dx + x(ln x ln y 1) dy = 0, y(1) = eProblem 15E:
In Problems 1520 solve the given differential equation by using an appropriate substitution. 15....Problem 16E:
In Problems 1520 solve the given differential equation by using an appropriate substitution. 16....Problem 17E:
In Problems 1520 solve the given differential equation by using an appropriate substitution. 17....Problem 18E:
In Problems 1520 solve the given differential equation by using an appropriate substitution. 18....Problem 19E:
In Problems 1520 solve the given differential equation by using an appropriate substitution. 19....Problem 20E:
In Problems 1520 solve the given differential equation by using an appropriate substitution. 20....Problem 22E:
In Problems 21 and 22 solve the given initial-value problem. 22. y1/2dydx+y3/2=1, y(0) = 4Problem 23E:
In Problems 2328 solve the given differential equation by using an appropriate substitution. 23....Problem 24E:
In Problems 2328 solve the given differential equation by using an appropriate substitution. 24....Problem 25E:
In Problems 2328 solve the given differential equation by using an appropriate substitution. 25....Problem 26E:
In Problems 2328 solve the given differential equation by using an appropriate substitution. 26....Problem 27E:
In Problems 2328 solve the given differential equation by using an appropriate substitution. 27....Problem 28E:
In Problems 2328 solve the given differential equation by using an appropriate substitution. 28....Problem 29E:
dydx=cos(x+y), y(0) = /4Problem 30E:
In Problems 29 and 30 solve the given initial-value problem. 30. dydx=3x+2y3x+2y+2,y(1)=1Problem 31E:
Explain why it is always possible to express any homogeneous differential equation M(x, y) dx + N(x,...Problem 32E:
Put the homogeneous differential equation (5x22y2)dxxydy=0 into the form given in Problem 31.Problem 35E:
The differential equation dy/dx = P(x) + Q(x)y + R(x)y2 is known as Riccatis equation. (a) A Riccati...Browse All Chapters of This Textbook
Chapter 1 - Introduction To Differential EquationsChapter 1.1 - Definitions And TerminologyChapter 1.2 - Initial-value ProblemsChapter 1.3 - Differential Equations As Mathematical ModelsChapter 2 - First-order Differential EquationsChapter 2.1 - Solution Curves Without A SolutionChapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Solutions By Substitutions
Chapter 2.6 - A Numerical MethodChapter 3 - Modeling With First-order Differential EquationsChapter 3.1 - Linear ModelsChapter 3.2 - Nonlinear ModelsChapter 3.3 - Modeling With Systems Of First-order DesChapter 4 - Higher-order Differential EquationsChapter 4.1 - Preliminary Theory-linear EquationsChapter 4.2 - Reduction Of OrderChapter 4.3 - Homogeneous Linear Equations With Constant CoefficientsChapter 4.4 - Undetermined Coefficients-superposition ApproachChapter 4.5 - Undetermined Coefficients-annihilator ApproachChapter 4.6 - Variation Of ParametersChapter 4.7 - Cauchy-euler EquationsChapter 4.8 - Green's FunctionsChapter 4.9 - Solving Systems Of Linear Des By EliminationChapter 4.10 - Nonlinear Differential EquationsChapter 5 - Modeling With Higher-order Differential EquationsChapter 5.1 - Linear Models: Initial-value ProblemsChapter 5.2 - Linear Models: Boundary-value ProblemsChapter 5.3 - Nonlinear ModelsChapter 6 - Series Solutions Of Linear EquationsChapter 6.1 - Review Of Power SeriesChapter 6.2 - Solutions About Ordinary PointsChapter 6.3 - Solutions About Singular PointsChapter 6.4 - Special FunctionsChapter 7 - The Laplace TransformChapter 7.1 - Definition Of The Laplace TransformChapter 7.2 - Inverse Transforms And Transforms Of DerivativesChapter 7.3 - Operational Properties IChapter 7.4 - Operational Properties IiChapter 7.5 - The Dirac Delta FunctionChapter 7.6 - Systems Of Linear Differential EquationsChapter 8 - Systems Of Linear First-order Differential EquationsChapter 8.1 - Preliminary Theory-linear SystemsChapter 8.2 - Homogeneous Linear SystemsChapter 8.3 - Nonhomogeneous Linear SystemsChapter 8.4 - Matrix ExponentialChapter 9 - Numerical Solutions Of Ordinary Differential EquationsChapter 9.1 - Euler Methods And Error AnalysisChapter 9.2 - Runge-kutta MethodsChapter 9.3 - Multistep MethodsChapter 9.4 - Higher-order Equations And SystemsChapter 9.5 - Second-order Boundary-value ProblemsChapter A - Integral-defined FunctionsChapter B - Matrices
Sample Solutions for this Textbook
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More Editions of This Book
Corresponding editions of this textbook are also available below:
A First Course in Differential Equations: The Classic Fifth Edition
5th Edition
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A First Course in Differential Equations with Modeling Applications
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