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