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