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:
Solve each of the following initial value problems and plot the solutions for several values of y0....Problem 7P:
The field mouse population in Example 1 satisfies the differential equation
Find the time at which...Problem 8P:
Consider a population p of field mice that grows at a rate proportional to the current population,...Problem 9P:
The falling object in Example 2 satisfies the initial value problem
Find the time that must elapse...Problem 12P:
A radioactive material, such as the isotope thorium-234,disintegrates at a rate proportional to the...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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