Preface  vii  
Chapter 1 FirstOrder Differential Equations  1  (95)  

1  (9)  

10  (8)  

18  (13)  

31  (14)  

45  (12)  

57  (14)  

71  (11)  

82  (14)  
Chapter 2 Linear Equations of Higher Order  96  (92)  

96  (13)  

109  (11)  

120  (11)  

131  (13)  

144  (13)  

157  (11)  

168  (8)  

176  (12)  
Chapter 3 Power Series Methods  188  (71)  

188  (13)  

201  (11)  

212  (15)  

227  (14)  

241  (9)  

250  (9)  
Chapter 4 Laplace Transform Methods  259  (58)  

259  (10)  

269  (11)  

280  (7)  

287  (8)  

295  (11)  

306  (11)  
Chapter 5 Linear Systems of Differential Equations  317  (103)  

317  (12)  

329  (9)  

338  (19)  

357  (15)  

372  (11)  

383  (16)  

399  (12)  

411  (9)  
Chapter 6 Numerical Methods  420  (50)  

420  (12)  

432  (11)  

443  (10)  

453  (17)  
Chapter 7 Nonlinear Systems and Phenomena  470  (74)  

470  (8)  

478  (12)  

490  (13)  

503  (13)  

516  (16)  

532  (12)  
Chapter 8 Fourier Series Methods  544  (67)  

544  (9)  

553  (7)  

560  (10)  

570  (5)  

575  (13)  

588  (12)  

600  (11)  
Chapter 9 Eigenvalues and Boundary Value Problems  611  (61)  

611  (11)  

622  (9)  

631  (8)  

639  (14)  

653  (19)  
References for Further Study  672  (3)  
Appendix: Existence and Uniqueness of Solutions  675  (14)  
Answers to Selected Problems  689  
Index  I1 