Differential Equations with Boundary-value ProblemsThis Fourth Edition of the expanded version of Zill's best-selling A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS places an even greater emphasis on modeling and the use of technology in problem solving and now features more everyday applications. Both Zill texts are identical through the first nine chapters, but this version includes six additional chapters that provide in-depth coverage of boundary-value problem-solving and partial differential equations, subjects just introduced in the shorter text. Previous editions of these two texts have enjoyed such great success in part because the authors pique students' interest with special features and in-text aids. Pre-publication reviewers also praise the authors' accessible writing style and the text's organization, which makes it easy to teach from and easy for students to understand and use. Understandable, step-by-step solutions are provided for every example. And this edition makes an even greater effort to show students how the mathematical concepts have relevant, everyday applications. Among the boundary-value related topics covered in this expanded text are: plane autonomous systems and stability; orthogonal functions; Fourier series; the Laplace transform; and elliptic, parabolic, and hyperparabolic partial differential equations, and their applications. |
Contents
Review Exercises | 167 |
Review Exercises | 257 |
of a Transform | 273 |
Copyright | |
15 other sections not shown
Common terms and phrases
a²u Answers to odd-numbered approximate auxiliary equation boundary conditions boundary-value problem c₁ c₂ Cauchy-Euler equation coefficients constant converges critical point defined determine differential operator dt dy dx² dy dx eigenvalues eigenvectors equilibrium position Euler's method EXAMPLE EXERCISES Answers family of solutions first-order differential equations Fourier Fourier series function gal/min given differential equation graph homogeneous initial conditions initial-value problem integral interval k₁ k₂ Laplace transform linear equation linearly independent m₁ m₂ mathematical model matrix method nonhomogeneous nonlinear obtain odd-numbered problems begin ODE solver orthogonal particular solution polynomial population power series regular singular point Runge-Kutta method second-order Section separation of variables series circuit shown in Figure singular point sinh solution curve solve the given spring superposition principle tank temperature Theorem tion values variables vectors velocity weight X₁ x²y y₁ y₁(x zero ди