미분방정식 Differential equaion with boungdary value problems 6판
페이지 정보
작성일 22-02-25 10:07
본문
Download : Differential_Equatio.pdf
7.2.2 Transforms of Derivatives 265
8.2 Homogeneous Linear Systems 311
Index I
II Matrices APP-3
15.1 Laplace’s Equation 512
7.2 Inverse Transforms and Transforms of Derivatives 262
5.2 Linear Models: Boundary-Value Problems 199
2.4 Exact Equations 62
1.3 Differential Equations as Mathematical Models 19
CHAPTER 14 IN REVIEW 510
8.2.3 Complex Eigenvalues 320
9.5 Second-Order Boundary-Value Problems 358
15 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS 511
2.6 A Numerical Method 75
CHAPTER 2 IN REVIEW 80
CHAPTER 4 IN REVIEW 178
3.3 Modeling with Systems of First-Order DEs 105
CHAPTER 11 IN REVIEW 430
6.1.1 Review of Power Series 220
III Laplace Transforms APP-21
I Gamma Function APP-1
8.3 Nonhomogeneous Linear Systems 326
미분방정식 Differential equaion with boungdary value problems 6판
CHAPTER 1 IN REVIEW 32
8.3.2 Variation of Parameters 329
3.1 Linear Models 83
12.6 Nonhomogeneous Boundary-Value Problems 455
10 PLANE AUTONOMOUS SYSTEMS 363
11 ORTHOGONAL FUNCTIONS AND FOURIER SERIES 397
11.2 Fourier Series 403
레포트 > 자연과학계열
11.4 Sturm-Liouville Problem 416
MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS 181
12.2 Classical PDEs and Boundary-Value Problems 437
CHAPTER 13 IN REVIEW 486
MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS 82
11.5.2 Fourier-Legendre Series 427
7.4 Operational Properties II 282
4.6 Variation of Parameters 157
7.1 Definition of the Laplace Transform 256
7 THE LAPLACE TRANSFORM 255
설명
5.1 Linear Models: Initial-Value Problems 182
13.1 Polar Coordinates 472
6.3.2 Legendre’s Equation 248
1.2 Initial-Value Problems 13
2.1 Solution Curves Without a Solution 35
15.2 Heat Equation 517
7.4.1 Derivatives of a Transform 282
6.3 Special Functions 241
APPENDICES
9.2 Runge-Kutta Methods 345
미방, 미분방정식,
10.2 Stability of Linear Systems 370
8 SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS 303
다. 4.3 Homogeneous Linear Equations with Constant Coefficients 133
8.3.1 Undetermined Coefficients 326
8.2.2 Repeated Eigenvalues 315
6.1.2 Power Series Solutions 223
12.1 Separable Partial Differential Equations 433
7.3.1 Translation on the s-Axis 271
2.1.2 Autonomous First-Order DEs 37
4
4.5 Undetermined Coefficients—Annihilator Approach 150
7.2.1 Inverse Transforms 262
14.3 Fourier Integral 498
11.1 Orthogonal Functions 398
14.1 Error Function 489
7.3 Operational Properties I 270
7.3.2 Translation on the t-Axis 274
6.1 Solutions About Ordinary Points 220
13.3 Spherical Coordinates 483
Download : Differential_Equatio.pdf( 28 )
15.3 Wave Equation 522
12.8 Higher-Dimensional Problems 466
12.5 Laplace’s Equation 450
4.2 Reduction of Order 130
9.4 Higher-Order Equations and Systems 353
4.1.2 Homogeneous Equations 120
7.4.2 Transforms of Integrals 283
9.3 Multistep Methods 350
12.7 Orthogonal Series Expansions 461
7.4.3 Transform of a Periodic Function 287
CHAPTER 15 IN REVIEW 526
2 FIRST-ORDER DIFFERENTIAL EQUATIONS 34
6.2 Solutions About Singular Points 231
5.1.1 Spring/Mass Systems: Free Undamped Motion 182
3.2 Nonlinear Models 94
4.1 Preliminary Theory—Linear Equations 118
11.5 Bessel and Legendre Series 423
HIGHER-ORDER DIFFERENTIAL EQUATIONS 117
4.9 Nonlinear Differential Equations 174
4.8 Solving Systems of Linear DEs by Elimination 169
11.3 Fourier Cosine and Sine Series 408
12.4 Wave Equation 445
CHAPTER 10 IN REVIEW 395
4.1.1 Initial-Value and Boundary-Value Problems 118
8.4 Matrix Exponential 334
10.4 Autonomous Systems as Mathematical Models 388
14 INTEGRAL TRANSFORMS 488
9.1 Euler Methods and Error Analysis 340
vi ● CONTENTS
4.4 Undetermined Coefficients—Superposition Approach 140
14.4 Fourier Transforms 504
CHAPTER 8 IN REVIEW 337
Answers for Selected Odd-Numbered Problems ANS-1
CHAPTER 7 IN REVIEW 300
1.1 Definitions and Terminology 2
6.3.1 Bessel’s Equation 241
Differential equaion with boungdary value problems 6판
Michael R.Cullen 저
7.6 Systems of Linear Differential Equations 295
CHAPTER 3 IN REVIEW 113
4.7 Cauchy-Euler Equation 162
2.5 Solutions by Substitutions 70
SERIES SOLUTIONS OF LINEAR EQUATIONS 219
12 BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES 432
2.3 Linear Equations 53
순서
5.1.3 Spring/Mass Systems: Driven Motion 189
4.1.3 Nonhomogeneous Equations 125
CHAPTER 12
5.1.2 Spring/Mass Systems: Free Damped Motion 186
5.1.4 Series Circuit Analogue 192
Differential equaion with boungdary value problems 6판 Dennis.G.Zill Michael R.Cullen 저 pdf파일입니다.
5.3 Nonlinear Models 207
CHAPTER 5 IN REVIEW 216
Preface xi
10.1 Autonomous Systems 364
10.3 Linearization and Local Stability 378
12.3 Heat Equation 443
13.2 Polar and Cylindrical Coordinates 477
1 INTRODUCTION TO DIFFERENTIAL EQUATIONS 1
8.2.1 Distinct Real Eigenvalues 312
2.2 Separable Variables 44
14.2 Laplace Transform 490
Dennis.G.Zill
2.1.1 Direction Fields 35
8.1 Preliminary Theory—Linear Systems 304
13 BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS 471
7.5 The Dirac Delta Function 292
9 NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS 339
11.5.1 Fourier-Bessel Series 424
pdf파일입니다.
