Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston ; Munich [u.a.]
Pearson Addison-Wesley
2008
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 688 S. |
| ISBN: | 9780321388452 0321388453 |
Internformat
MARC
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| 245 | 1 | 0 | |a Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider |c Viktor Maymeskul |
| 264 | 1 | |a Boston ; Munich [u.a.] |b Pearson Addison-Wesley |c 2008 | |
| 300 | |a VI, 688 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Equacoes diferenciais |2 larpcal | |
| 650 | 4 | |a Boundary value problems |v Problems, exercises, etc | |
| 650 | 4 | |a Differential equations |v Problems, exercises, etc | |
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| 700 | 1 | 2 | |a Nagle, Richard Kent |0 (DE-588)139205888 |4 aut |t Fundamentals of differential equations |
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Datensatz im Suchindex
| _version_ | 1804145664348651520 |
|---|---|
| adam_text | Contents
CHAPTER
1:
Introduction
1
EXERCISES
1.1:
Background
........................... 1
EXERCISES
1.2:
Solutions and Initial Value Problems
............. 3
EXERCISES
1.3:
Direction Fields
......................... 9
EXERCISES
1.4:
The Approximation Method of
Euler
............. 14
CHAPTER
2:
First-Order Differential Equations
23
EXERCISES
2.2:
Separable Equations
...................... 23
EXERCISES
2.3:
Linear Equations
........................ 35
EXERCISES
2.4:
Exact Equations
........................ 52
EXERCISES
2.5:
Special Integrating Factors
................... 63
EXERCISES
2.6:
Substitutions and Transformations
.............. 71
REVIEW PROBLEMS
............................... 82
CHAPTER
3:
Mathematical Models and Numerical Methods Involving
First-Order Equations
93
EXERCISES
3.2:
Compartmental Analysis
.................... 93
EXERCISES
3.3:
Heating and Cooling of Buildings
............... 104
EXERCISES
3.4:
Newtonian Mechanics
......................
Ill
EXERCISES
3.5:
Electrical Circuits
........................ 123
EXERCISES
3.6:
Improved Euler s Method
................... 126
EXERCISES
3.7:
Higher-Order Numerical Methods: Taylor and Runge-Kutta
136
CHAPTER
4:
Linear Second-Order Equations
151
EXERCISES
4.1:
Introduction: The Mass-Spring Oscillator
........... 151
EXERCISES
4.2:
Homogeneous Linear Equations: The General Solution
. . . 153
EXERCISES
4.3:
Auxiliary Equations with Complex Roots
........... 159
EXERCISES
4.4:
Nonhomogeneous Equations: The Method of Undetermined
Coefficients
.................................... 168
EXERCISES
4.5:
The Superposition Principle and Undetermined Coefficients
Revisited
..................................... 174
iii
EXERCISES
4.6:
Variation
of Parameters
.................... 188
EXERCISES
4.7:
Variable-Coefficient Equations
................. 199
EXERCISES
4.8:
Qualitative
Considerations for
Variable-Coefficient and
Nonlinear
Equations
............................... 211
EXERCISES
4.9:
A Closer
Look at Free Mechanical
Vibrations
........ 216
EXERCISES
4.10:
A Closer
Look at Forced Mechanical
Vibrations
...... 225
REVIEW PROBLEMS
............................... 230
CHAPTER
5:
Introduction to Systems and Phase Plane Analysis
241
EXERCISES
5.2:
Elimination Method for Systems with Constant Coefficients
241
EXERCISES
5.3:
Solving Systems and Higher-Order Equations Numerically
. 262
EXERCISES
5.4:
Introduction to the Phase Plane
................ 271
EXERCISES
5.5:
Applications to Biomathematics: Epidemic and Tumor
Growth Models
.................................. 283
EXERCISES
5.6:
Coupled Mass-Spring Systems
................. 287
EXERCISES
5.7:
Electrical Systems
....................... 296
EXERCISES
5.8:
Dynamical Systems,
Poincarè
Maps, and Chaos
....... 303
REVIEW PROBLEMS
............................... 309
CHAPTER
6:
Theory of Higher-Order Linear Differential Equations
319
EXERCISES
6.1:
Basic Theory of Linear Differential Equations
........ 319
EXERCISES
6.2:
Homogeneous Linear Equations with Constant Coefficients
. 328
EXERCISES
6.3:
Undetermined Coefficients and the Annihilator Method
... 338
EXERCISES
6.4:
Method of Variation of Parameters
.............. 351
REVIEW PROBLEMS
............................... 358
CHAPTER
7:
Laplace Transforms
363
EXERCISES
7.2:
Definition of the Laplace Transform
.............. 363
EXERCISES
7.3:
Properties of the Laplace Transform
............. 370
EXERCISES
7.4:
Inverse Laplace Transform
................... 375
EXERCISES
7.5:
Solving Initial Value Problems
................. 385
EXERCISES
7.6:
Transforms of Discontinuous and Periodic Functions
.... 399
EXERCISES
7.7:
Convolution
........................... 418
EXERCISES
7.8:
Impulses and the Dirac Delta Function
............ 426
EXERCISES
7.9:
Solving Linear Systems with Laplace Transforms
...... 433
REVIEW PROBLEMS
............................... 446
CHAPTER
8:
Series Solutions of Differential Equations
455
EXERCISES
8.1:
Introduction: The Taylor Polynomial Approximation
.... 455
EXERCISES
8.2:
Power Series and Analytic Functions
............. 459
EXERCISES
8.3:
Power Series Solutions to Linear Differential Equations
. . . 467
iv
EXERCISES
8.4:
Equations
with Analytic
Coefficients
............. 481
EXERCISES
8.5:
Cauchy-Euler (Equidimensional) Equations
Revisited
.... 487
EXERCISES
8.6:
Method of Frobenius
...................... 491
EXERCISES
8.7:
Finding
a Second
Linearly Independent
Solution
....... 503
EXERCISES
8.8:
Special Functions ........................
512
REVIEW PROBLEMS
............................... 516
CHAPTER
9:
Matrix Methods for Linear Systems
521
EXERCISES
9.1:
Introduction
........................... 521
EXERCISES
9.2:
Review
1:
Linear Algebraic Equations
............ 522
EXERCISES
9.3:
Review
2:
Matrices and Vectors
................ 524
EXERCISES
9.4:
Linear Systems in Normal Form
................ 528
EXERCISES
9.5:
Homogeneous Linear Systems with Constant Coefficients
. . 534
EXERCISES
9.6:
Complex Eigenvalues
...................... 545
EXERCISES
9.7:
Nonhomogeneous Linear Systems
............... 550
EXERCISES
9.8:
The Matrix Exponential Function
............... 563
CHAPTER
10:
Partial Differential Equations
575
EXERCISES
10.2:
Method of Separation of Variables
.............. 575
EXERCISES
10.3:
Fourier Series
......................... 580
EXERCISES
10.4:
Fourier Cosine and Sine Series
................ 587
EXERCISES
10.5:
The Heat Equation
...................... 593
EXERCISES
10.6:
The Wave Equation
...................... 601
EXERCISES
10.7:
Laplace s Equation
...................... 607
CHAPTER
11:
Eigenvalue Problems and Sturm-Liouville Equations
621
EXERCISES
11.2:
Eigenvalues and Eigenfunctions
............... 621
EXERCISES
11.3:
Regular Sturm-Liouville Boundary Value Problems
..... 631
EXERCISES
11.4:
Nonhomogeneous Boundary Value Problems and the
Fredholm
Alternative
............................... 636
EXERCISES
11.5:
Solution by Eigenfunction Expansion
............ 639
EXERCISES
11.6:
Green s Functions
....................... 642
EXERCISES
11.7:
Singular Sturm-Liouville Boundary Value Problems
.... 649
EXERCISES
11.8:
Oscillation and Comparison Theory
............. 652
CHAPTER
12:
Stability of Autonomous Systems
655
EXERCISES
12.2:
Linear Systems in the Plane
................. 655
EXERCISES
12.3:
Almost Linear Systems
.................... 657
EXERCISES
12.4:
Energy Methods
........................ 663
EXERCISES
12.5:
Lyapunov s Direct Method
.................. 665
EXERCISES
12.6:
Limit Cycles and Periodic Solutions
............. 666
EXERCISES
12.7:
Stability of Higher-Dimensional Systems
........... 669
CHAPTER
13:
Existence and Uniqueness Theory
671
EXERCISES
13.1:
Introduction: Successive Approximations
.......... 671
EXERCISES
13.2:
Picard s Existence and Uniqueness Theorem
........ 677
EXERCISES
13.3:
Existence of Solutions of Linear Equations
......... 685
EXERCISES
13.4:
Continuous Dependence of Solutions
............. 687
vi
|
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| spelling | Maymeskul, Viktor V. Verfasser aut Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider Viktor Maymeskul Boston ; Munich [u.a.] Pearson Addison-Wesley 2008 VI, 688 S. txt rdacontent n rdamedia nc rdacarrier Equacoes diferenciais larpcal Boundary value problems Problems, exercises, etc Differential equations Problems, exercises, etc Differentialgleichung (DE-588)4012249-9 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Differentialgleichung (DE-588)4012249-9 s DE-604 Nagle, Richard Kent Sonstige (DE-588)139205888 oth Saff, Edward B. 1944- Sonstige (DE-588)110736990 oth Snider, Arthur David 1940- Sonstige (DE-588)153940824 oth Nagle, Richard Kent (DE-588)139205888 aut Fundamentals of differential equations Nagle, Richard Kent (DE-588)139205888 aut Fundamentals of differential equations and boundary value problems Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022532685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maymeskul, Viktor V. Nagle, Richard Kent Nagle, Richard Kent Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider Equacoes diferenciais larpcal Boundary value problems Problems, exercises, etc Differential equations Problems, exercises, etc Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4143389-0 |
| title | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider |
| title_alt | Fundamentals of differential equations Fundamentals of differential equations and boundary value problems |
| title_auth | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider |
| title_exact_search | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider |
| title_full | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider Viktor Maymeskul |
| title_fullStr | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider Viktor Maymeskul |
| title_full_unstemmed | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider Viktor Maymeskul |
| title_short | Student's solutions manual - Fundamentals of differential equations, seventh edition, Fundamentals of differential equations and boundary value problems, fifth edition - R. Kent Nagle, Edward B. Saff, A. David Snider |
| title_sort | student s solutions manual fundamentals of differential equations seventh edition fundamentals of differential equations and boundary value problems fifth edition r kent nagle edward b saff a david snider |
| topic | Equacoes diferenciais larpcal Boundary value problems Problems, exercises, etc Differential equations Problems, exercises, etc Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Equacoes diferenciais Boundary value problems Problems, exercises, etc Differential equations Problems, exercises, etc Differentialgleichung Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022532685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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