Solutions for Student Solutions Manual For Zill's A First Course In Differential Equations With Modeling Applications, 11th
Problem 1E:
5.1.1 Spring/Mass systems: Free Undamped Motion A mass weighing 4 pounds is attached to a spring...Problem 2E:
Spring/Mass Systems: Free Undamped Motion A 20-kilogram mass is attached to a spring. If the...Problem 3E:
Spring/Mass Systems: Free Undamped Motion A mass weighing 24 pounds, attached to the end of a...Problem 4E:
Spring/Mass Systems: Free Undamped Motion Determine the equation of motion if the mass in Problem 3...Problem 5E:
Spring/Mass Systems: Free Undamped Motion A mass weighing 20 pounds stretches a spring 6 inches. The...Problem 6E:
Spring/Mass Systems: Free Undamped Motion A force of 400 newtons stretches a spring 2 meters. A mass...Problem 9E:
Spring/Mass Systems: Free Undamped Motion A mass weighing 8 pounds is attached to a spring. When set...Problem 10E:
5.1.1Spring/Mass Systems: Free Undamped Motion A mass weighing 10 pounds stretches a spring 14 foot....Problem 11E:
A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point...Problem 12E:
A mass of 1 slug is suspended from a spring whose spring constant is 9 lb/ft. The mass is initially...Problem 14E:
5.1.1 Spring/Mass systems: Free Undamped Motion A certain mass stretches one spring 13 foot and...Problem 15E:
Solve Problem 13 again, but this time assume that the springs are in series as shown in Figure...Problem 17E:
Spring/Mass Systems: Free Undamped Motion Find the effective spring constant of the parallel-spring...Problem 19E:
Spring/Mass Systems: Free Undamped Motion A model of a spring/mass system is 4x+e0.1tx=0. By...Problem 20E:
5.1.1Spring/Mass Systems: Free Undamped Motion A model of a spring/mass system is 4x+tx=0. By...Problem 21E:
5.1.2 Spring/Mass systems: Free Damped Motion In Problems 2124 the given figure represents the graph...Problem 22E:
Spring/Mass Systems: Free Damped Motion In Problems 2124 the given figure represents the graph of an...Problem 23E:
Spring/Mass Systems: Free Damped Motion In Problems 2124 the given figure represents the graph of an...Problem 24E:
Spring/Mass Systems: Free Damped Motion In Problems 2124 the given figure represents the graph of an...Problem 25E:
Spring/Mass System: Free Damped Motion A mass weighing 4 pounds is attached to a spring whose...Problem 26E:
Spring/Mass Systems: Free Damped Motion A 4-foot spring measures 8 feet long after a mass weighing 8...Problem 27E:
A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then...Problem 28E:
A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then...Problem 29E:
Spring/Mass Systems: Free Damped Motion A force of 2 pounds stretches a spring 1 foot. A mass...Problem 30E:
After a mass weighing 10 pounds is attached to a 5-foot spring, the spring measures 7 feet. This...Problem 31E:
Spring/Mass Systems: Free Damped Motion A mass weighing 10 pounds stretches a spring 2 feet. The...Problem 33E:
Spring/Mass Systems: Free Damped Motion A mass weighing 16 pounds stretches a spring 83 feet. The...Problem 34E:
A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released...Problem 35E:
Spring/Mass Systems: Driven Motion A mass of 1 slug, when attached to a spring, stretches it 2 feet...Problem 36E:
In Problem 35 determine the equation of motion if the external force is f(t) = et sin 4t. Analyze...Problem 37E:
Spring/Mass Systems: Driven Motion When a mass of 2 kilograms is attached to a spring whose constant...Problem 39E:
Spring/Mass Systems: Driven Motion A mass m is attached to the end of a spring whose constant is k....Problem 40E:
A mass of 100 grams is attached to a spring whose constant is 1600 dynes/cm. After the mass reaches...Problem 44E:
Compare the result obtained in part (b) of Problem 43 with the solution obtained using variation of...Problem 49E:
Series Circuit Analogue Find the charge on the capacitor in an LRC-series circuit at t = 0.01 s when...Problem 50E:
Series Circuit Analogue Find the charge on the capacitor in an LRC-series circuit when L=14h, R=20,...Problem 51E:
Series Circuit Analogue In Problems 51 and 52 find the charge on the capacitor and the current in...Problem 52E:
In Problems 51 and 52 find the charge on the capacitor and the current in the given LRC-series...Problem 53E:
Series Circuit Analogue Find the steady-state charge and the steady-state current in an LRC-series...Problem 57E:
Find the charge on the capacitor in an LRC-series circuit when L=12h, R = 10 , C = 0.01 f, E(t) =...Problem 58E:
Show that if L, R, C, and E0 are constant, then the amplitude of the steady-state current in Example...Problem 59E:
Show that if L, R, E0, and are constant, then the amplitude of the steady-state current in Example...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
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