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