Elementary Differential Equations10th EditionWilliam E. Boyce, Richard C. DiPrima Publisher: Wiley, John & Sons, IncorporatedISBN: 9780470458327
Elementary Differential Equations
Solutions for Elementary Differential Equations
Problem 1P:
In each of Problems 1 through 6, draw a direction field for the given differential equation. Based...Problem 2P:
In each of Problems 1 through 6, draw a direction field for the given differential equation. Based...Problem 3P:
In each of Problems 1 through 6, draw a direction field for the given differential equation. Based...Problem 4P:
In each of Problems 1 through 6, draw a direction held for the given differential equation. Based on...Problem 5P:
In each of Problems 1 through 6, draw a direction held for the given differential equation. Based on...Problem 6P:
In each of Problems 1 through 6, draw a direction held for the given differential equation. Based on...Problem 7P:
In each of Problems 7 through 10, write down a differential equation of the form dy/dt = ay + b...Problem 11P:
In each of Problems 11 through 14, draw a direction field for the given differential equation. Based...Problem 15P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 18P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 19P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 22P:
A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential...Problem 23P:
Newton’s law of cooling states that the temperature of an object changes at a rate proportional to...Problem 24P:
A certain drug is being administered intravenously to a hospital patient. Fluid containing 5 mg/cm3...Problem 28P:
In each of Problems 26 through 33, draw a direction field for the given differential equation. Based...Problem 30P:
In each of Problems 26 through 33, draw a direction field for the given differential equation. Based...Browse All Chapters of This Textbook
Chapter 1.1 - Some Basic Mathematical Models; Direction FieldsChapter 1.2 - Solutions Of Some Differential EquationsChapter 1.3 - Classification Of Differential EquationsChapter 2 - First Order Differential EquationsChapter 2.1 - Linear Equations; Method Of Integrating FactorsChapter 2.2 - Separable EquationsChapter 2.3 - Modeling With First Order EquationsChapter 2.4 - Differences Between Linear And Nonlinear EquationsChapter 2.5 - Autonomous Equations And Population DynamicsChapter 2.6 - Exact Equations And Integrating Factors
Chapter 2.7 - Numerical Approximations: Euler's MethodChapter 2.8 - The Existence And Uniqueness TheoremChapter 2.9 - First Order Differential EquationsChapter 3.1 - Homogeneous Equations With Constant CoefficientsChapter 3.2 - Solutions Of Linear Homogeneous Equations; The WronskianChapter 3.3 - Complex Roots Of The Characteristic EquationChapter 3.4 - Repeated Roots; Reduction Of OrderChapter 3.5 - Nonhomogeneous Equations; Method Of Undetermined CoefficientsChapter 3.6 - Variation Of ParametersChapter 3.7 - Mechanical And Electrical VibrationsChapter 3.8 - Forced VibrationsChapter 4.1 - General Theory Of Nth Order Linear EquationsChapter 4.2 - Homogeneous Equations With Constant CoefficientsChapter 4.3 - The Method Of Undetermined CoefficientsChapter 4.4 - The Method Of Variation Of ParametersChapter 5.1 - Review Of Power SeriesChapter 5.2 - Series Solutions Near An Ordinary Point, Part IChapter 5.3 - Series Solutions Near An Ordinary Point, Part IiChapter 5.4 - Euler Equations; Regular Singular PointsChapter 5.5 - Series Solutions Near A Regular Singular Point, Part IChapter 5.6 - Series Solutions Near A Regular Singular Point, Part IiChapter 5.7 - Bessel's EquationChapter 6.1 - Definition Of The Laplace TransformChapter 6.2 - Solution Of Initial Value ProblemChapter 6.3 - Step FunctionsChapter 6.4 - Differential Equations With Discontinuous Forcing FunctionsChapter 6.5 - Impulse FunctionsChapter 6.6 - The Convolution IntegralChapter 7.1 - IntroductionChapter 7.2 - Review Of MatricesChapter 7.3 - Systems Of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigen VectorsChapter 7.4 - Basic Theory Of Systems Of First Order Linear EquationsChapter 7.5 - Homogeneous Linear Systems With Constant CoefficientsChapter 7.6 - Complex EigenvaluesChapter 7.7 - Fundamental MatricesChapter 7.8 - Repeated EigenvaluesChapter 7.9 - Nonhomogeneous Linear SystemsChapter 8.1 - The Euler Of Tangent Line MethodChapter 8.2 - Improvements On The Euler MethodChapter 8.3 - The Runge-kutta MethodChapter 8.4 - Multistep MethodsChapter 8.5 - Systems Of First Order EquationsChapter 8.6 - More On Errors; StabilityChapter 9.1 - The Phase Plane: Linear SystemsChapter 9.2 - Autonomous Equations And StabilityChapter 9.3 - Locally Linear SystemsChapter 9.4 - Competing SpeciesChapter 9.5 - Predator-prey EquationsChapter 9.6 - Liapunov's Second MethodChapter 9.7 - Periodic Solutions And Limit CyclesChapter 9.8 - Chaos And Strange Attractors: The Lorenz Equations
Book Details
Boyce/DiPrima is the best-seller in its market and extremely popular. The format remains unchanged, but exercises and examples have been updated to reflect the most current scenarios and topics.
Sample Solutions for this Textbook
We offer sample solutions for Elementary Differential Equations homework problems. See examples below:
Definition used: The first order linear equation is of the form dydt+p(t)y=q(t) where p and q are...Formula used: The known trigonometric identity is that cosA−cosB=−2sin(A+B2)sin(A−B2). Calculation:...Formula used: The variation of parameters for higher order differential equations is...Theorem used: Let r1 and r2 be the roots of the indicial equation F(r)=r(r−1)+p0r+q0 with r1≥r2. If...Theorem used: If F(s)=L{f(t)} and G(s)=L{g(t)} both exist for s>a≥0, then H(s)=F(s)G(s)=L{h(t)},...The given system of equations is, x′=(2−13−2)x+(ett) It is noted that, the given system is a...Consider the initial value problem is y'=t+y−3, y(0)=2. Therefore, the given solution is...
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