Solutions for Epin Differential Equ 4e
Problem 1E:
In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified. 1....Problem 2E:
In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified. 2....Problem 3E:
Consider the population model dPdt=0.4P(1P230) where P(t) is the population at time t. (a) For what...Problem 4E:
Consider the population model dPdt=0.3(1P200)(P501)P where P(t) is the population at time t. (a)...Problem 5E:
Consider the differential equation dydt=y3y212y (a) For what values of y is y(t) in equilibrium?...Problem 6E:
In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 7E:
In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 8E:
In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 9E:
In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 10E:
In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 11E:
MacQuarie Island is a small island about half-way between Antarctica and New Zealand. Between 2000...Problem 12E:
The velocity u of a freefalling skydiver is well modeled by the differential equation mdvdt=mgkv2...Problem 13E:
Exercises 13—15 consider an elementary model of the learning process: Although human learning is an...Problem 14E:
Exercises 13—15 consider an elementary model of the learning process: Although human learning is an...Problem 15E:
Exercises 13—15 consider an elementary model of the learning process: Although human learning is an...Problem 16E:
The expenditure on education in the U.S. is given in the following table. (Amounts are expressed in...Problem 17E:
Suppose a species of fish in a particular lake has a population that is modeled by the logistic...Problem 18E:
Suppose that the growth-rate parameter k = 0.3 and the carrying capacity N = 2500 in the logistic...Problem 19E:
The rhinoceros is now extremely rare. Suppose enough game preserve land is set aside so that there...Problem 20E:
While it is difficult to imagine a time before cell phones, such a time did exist. The table below...Problem 21E:
For the following predator-prey systems, identify which dependent variable,x or y, is the prey...Browse All Chapters of This Textbook
Chapter 1 - First-order Differential EquationsChapter 1.1 - Modeling Via Differential EquationsChapter 1.2 - Analytic Technique: Separation Of VariablesChapter 1.3 - Qualitative Technique: Slope FieldsChapter 1.4 - Numerical Technique: Euler’s MethodChapter 1.5 - Existence And Uniqueness Of SolutionsChapter 1.6 - Equilibria And The Phase LineChapter 1.7 - BifurcationsChapter 1.8 - Linear EquationsChapter 1.9 - Integrating Factors For Linear Equations
Chapter 2 - First-order SystemsChapter 2.1 - Modeling Via SystemsChapter 2.2 - The Geometry Of SystemsChapter 2.3 - The Damped Harmonic OscillatorChapter 2.4 - Additional Analytic Methods For Special SystemsChapter 2.5 - Euler’s Method For SystemsChapter 2.6 - Existence And Uniqueness For SystemsChapter 2.7 - The Sir Model Of An EpidemicChapter 2.8 - The Lorenz EquationsChapter 3.1 - Properties Of Linear Systems And The Linearity PrincipleChapter 3.2 - Straight-line SolutionsChapter 3.3 - Phase Portraits For Linear Systems With Real EigenvaluesChapter 3.4 - Complex EigenvaluesChapter 3.5 - Special Cases: Repeated And Zero EigenvaluesChapter 3.6 - Second-order Linear EquationsChapter 3.7 - The Trace-determinant PlaneChapter 4.1 - Forced Harmonic OscillatorsChapter 4.2 - Sinusoidal ForcingChapter 5.1 - Equilibrium Point AnalysisChapter 5.3 - Hamiltonian SystemsChapter 6.1 - Laplace TransformsChapter 6.2 - Discontinuous FunctionsChapter 6.3 - Second-order EquationsChapter 6.5 - Convolutions
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