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