미분방정식 Differential equaion with boungdary value problems 6판
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4.1.1 Initial-Value and Boundary-Value Problems 118
4.1.2 Homogeneous Equations 120
4.1.3 Nonhomogeneous Equations 125
CHAPTER 1 IN REVIEW 32
8.4 Matrix Exponential 334
Differential equaion with boungdary value problems 6판 Dennis.G.Zill Michael R.Cullen 저 pdf파일입니다. 13.3 Spherical Coordinates 483
12.8 Higher-Dimensional Problems 466
MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS 181
CHAPTER 14 IN REVIEW 510
MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS 82
14.4 Fourier Transforms 504
III Laplace Transforms APP-21
4.3 Homogeneous Linear Equations with Constant Coefficients 133
CHAPTER 2 IN REVIEW 80
Preface xi
9 NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS 339
2.2 Separable Variables 44
순서
12.3 Heat Equation 443
11.4 Sturm-Liouville Problem 416
6.1.2 Power Series Solutions 223
7.2 Inverse Transforms and Transforms of Derivatives 262
5.1.4 Series Circuit Analogue 192
9.2 Runge-Kutta Methods 345
9.3 Multistep Methods 350
10.4 Autonomous Systems as Mathematical Models 388
5.1.1 Spring/Mass Systems: Free Undamped Motion 182
15.3 Wave Equation 522
설명
5.1 Linear Models: Initial-Value Problems 182
1 INTRODUCTION TO DIFFERENTIAL EQUATIONS 1
Dennis.G.Zill
14 INTEGRAL TRANSFORMS 488
2.1.2 Autonomous First-Order DEs 37
CHAPTER 7 IN REVIEW 300
4.2 Reduction of Order 130
13.1 Polar Coordinates 472
9.1 Euler Methods and Error Analysis 340
4.4 Undetermined Coefficients—Superposition Approach 140
15.1 Laplace’s Equation 512
2.5 Solutions by Substitutions 70
11.2 Fourier Series 403
7.4 Operational Properties II 282
1.2 Initial-Value Problems 13
13 BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS 471
12.6 Nonhomogeneous Boundary-Value Problems 455
8.3.2 Variation of Parameters 329
14.3 Fourier Integral 498
1.3 Differential Equations as Mathematical Models 19
CHAPTER 4 IN REVIEW 178
7.4.3 Transform of a Periodic Function 287
14.2 Laplace Transform 490
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8.3.1 Undetermined Coefficients 326
2.1 Solution Curves Without a Solution 35
11.5.2 Fourier-Legendre Series 427
9.5 Second-Order Boundary-Value Problems 358
12.4 Wave Equation 445
6.1.1 Review of Power Series 220
CHAPTER 8 IN REVIEW 337
Michael R.Cullen 저
5.1.3 Spring/Mass Systems: Driven Motion 189
9.4 Higher-Order Equations and Systems 353
8.2.1 Distinct Real Eigenvalues 312
Answers for Selected Odd-Numbered Problems ANS-1
CHAPTER 5 IN REVIEW 216
14.1 Error Function 489
4.9 Nonlinear Differential Equations 174
Index I
4.1 Preliminary Theory—Linear Equations 118
II Matrices APP-3
5.1.2 Spring/Mass Systems: Free Damped Motion 186
10.1 Autonomous Systems 364
7.3.1 Translation on the s-Axis 271
8 SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS 303
8.2.2 Repeated Eigenvalues 315
15.2 Heat Equation 517
11.5 Bessel and Legendre Series 423
10.3 Linearization and Local Stability 378
7.3 Operational Properties I 270
CHAPTER 12
2.3 Linear Equations 53
15 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS 511
미방, 미분방정식,
7.3.2 Translation on the t-Axis 274
vi ● CONTENTS
CHAPTER 11 IN REVIEW 430
7.4.1 Derivatives of a Transform 282
6.3.1 Bessel’s Equation 241
8.2 Homogeneous Linear Systems 311
5.2 Linear Models: Boundary-Value Problems 199
7.2.2 Transforms of Derivatives 265
2 FIRST-ORDER DIFFERENTIAL EQUATIONS 34
11 ORTHOGONAL FUNCTIONS AND FOURIER SERIES 397
7.6 Systems of Linear Differential Equations 295
12.5 Laplace’s Equation 450
6.1 Solutions About Ordinary Points 220
5.3 Nonlinear Models 207
12 BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES 432
6.2 Solutions About Singular Points 231
12.2 Classical PDEs and Boundary-Value Problems 437
3.1 Linear Models 83
2.1.1 Direction Fields 35
12.1 Separable Partial Differential Equations 433
1.1 Definitions and Terminology 2
4.5 Undetermined Coefficients—Annihilator Approach 150
CHAPTER 3 IN REVIEW 113
7.1 Definition of the Laplace Transform 256
11.1 Orthogonal Functions 398
CHAPTER 10 IN REVIEW 395
11.5.1 Fourier-Bessel Series 424
10 PLANE AUTONOMOUS SYSTEMS 363
미분방정식 Differential equaion with boungdary value problems 6판
7.4.2 Transforms of Integrals 283
8.1 Preliminary Theory—Linear Systems 304
2.6 A Numerical Method 75
7.2.1 Inverse Transforms 262
11.3 Fourier Cosine and Sine Series 408
8.2.3 Complex Eigenvalues 320
7.5 The Dirac Delta Function 292
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2.4 Exact Equations 62
SERIES SOLUTIONS OF LINEAR EQUATIONS 219
6.3 Special Functions 241
I Gamma Function APP-1
8.3 Nonhomogeneous Linear Systems 326
CHAPTER 15 IN REVIEW 526
13.2 Polar and Cylindrical Coordinates 477
HIGHER-ORDER DIFFERENTIAL EQUATIONS 117
10.2 Stability of Linear Systems 370
7 THE LAPLACE TRANSFORM 255
3.3 Modeling with Systems of First-Order DEs 105
4
Differential equaion with boungdary value problems 6판
CHAPTER 13 IN REVIEW 486
6.3.2 Legendre’s Equation 248
APPENDICES
12.7 Orthogonal Series Expansions 461
4.7 Cauchy-Euler Equation 162
4.8 Solving Systems of Linear DEs by Elimination 169
3.2 Nonlinear Models 94
4.6 Variation of Parameters 157
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