Elementary differential equations with applications /
C.H. Edwards and David E. Penney
- Englewood Cliffs, New Jersey : Prentice-Hall, c1985
- xvii, 631 pages : illustrations ; 24 cm.
Includes bibliographical references and index.
1. Introduction and first order differential equations -- 2. Linear equations of higher order -- 3. Power series solutions of linear equations -- 4. The laplace transform -- 5. Linear systems of differential equations -- 6. Numerical methods -- 7. Fourier series and separation of variables -- 8. Eigenvalues and boundary value problems -- 9. Qualitative properties and existence of solutions.
The book discussions of the mathematical modelling of real-world situations. The fact that differential equations have diverse and important applications is too familiar for extensive comment here.