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