Differential and Difference Equations

Errata
Preface
@=18
1. Differential Equations of the First Order 1
2. Important Types of First-Order Equations 56
3. Linear Equations of the Second Order 93
4. Linear Equations With Constant Coefficients 127
5. Systems of Equations  161
6. Applications 227
7. Laplace Transform 282
8. Linear Difference Equations  337
9. Linear Difference Equations With Constant Coefficients 373
10. Solutions in Series 413
11. Mikusinski's Operational Calculus 517
12. Existence and Uniqueness Theorems 561
13. Interpolation and Numerical Integration 591
14. Numerical Solutions  636
Appendix 1. Tables 657
Appendix 2. The Solution of Linear Algebraic Equations 663
Appendix 3. Periodic Solutions of Linear Difference Equations 669
Bibliography 673
Answers to Odd-Numbered Problems 675
Index 693