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 Boyce, William E.
 Tenth edition.  Hoboken, NJ : Wiley, [2012]
 Description
 Book — xix, 809 pages : illustrations ; 27 cm
 Summary

 Chapter 1 Introduction 1 1.1 Some Basic Mathematical Models Direction Fields 1 1.2 Solutions of Some Differential Equations 10 1.3 Classification of Differential Equations 19 1.4 Historical Remarks 26
 Chapter 2 First Order Differential Equations 31 2.1 Linear Equations Method of Integrating Factors 31 2.2 Separable Equations 42 2.3 Modeling with First Order Equations 51 2.4 Differences Between Linear and Nonlinear Equations 68 2.5 Autonomous Equations and Population Dynamics 78 2.6 Exact Equations and Integrating Factors 95 2.7 Numerical Approximations: Euler's Method 102 2.8 The Existence and Uniqueness Theorem 112 2.9 First Order Difference Equations 122
 Chapter 3 Second Order Linear Equations 137 3.1 Homogeneous Equations with Constant Coefficients 137 3.2 Solutions of Linear Homogeneous Equations the Wronskian 145 3.3 Complex Roots of the Characteristic Equation 158 3.4 Repeated Roots Reduction of Order 167 3.5 Nonhomogeneous Equations Method of Undetermined Coefficients 175 3.6 Variation of Parameters 186 3.7 Mechanical and Electrical Vibrations 192 3.8 Forced Vibrations 207
 Chapter 4 Higher Order Linear Equations 221 4.1 General Theory of nth Order Linear Equations 221 4.2 Homogeneous Equations with Constant Coefficients 228 4.3 The Method of Undetermined Coefficients 236 4.4 The Method of Variation of Parameters 241
 Chapter 5 Series Solutions of Second Order Linear Equations 247 5.1 Review of Power Series 247 5.2 Series Solutions Near an Ordinary Point, Part I 254 5.3 Series Solutions Near an Ordinary Point, Part II 265 5.4 Euler Equations Regular Singular Points 272 5.5 Series Solutions Near a Regular Singular Point, Part I 282 5.6 Series Solutions Near a Regular Singular Point, Part II 288 5.7 Bessel's Equation 296
 Chapter 6 The Laplace Transform 309 6.1 Definition of the Laplace Transform 309 6.2 Solution of Initial Value Problems 317 6.3 Step Functions 327 6.4 Differential Equations with Discontinuous Forcing Functions 336 6.5 Impulse Functions 343 6.6 The Convolution Integral 350
 Chapter 7 Systems of First Order Linear Equations 359 7.1 Introduction 359 7.2 Review of Matrices 368 7.3 Systems of Linear Algebraic Equations Linear Independence, Eigenvalues, Eigenvectors 378 7.4 Basic Theory of Systems of First Order Linear Equations 390 7.5 Homogeneous Linear Systems with Constant Coefficients 396 7.6 Complex Eigenvalues 408 7.7 Fundamental Matrices 421 7.8 Repeated Eigenvalues 429 7.9 Nonhomogeneous Linear Systems 440
 Chapter 8 Numerical Methods 451 8.1 The Euler or Tangent Line Method 451 8.2 Improvements on the Euler Method 462 8.3 The RungeKutta Method 468 8.4 Multistep Methods 472 8.5 Systems of First Order Equations 478 8.6 More on Errors Stability 482
 Chapter 9 Nonlinear Differential Equations and Stability 495 9.1 The Phase Plane: Linear Systems 495 9.2 Autonomous Systems and Stability 508 9.3 Locally Linear Systems 519 9.4 Competing Species 531 9.5 PredatorPrey Equations 544 9.6 Liapunov's Second Method 554 9.7 Periodic Solutions and Limit Cycles 565 9.8 Chaos and Strange Attractors: The Lorenz Equations 577
 Chapter 10 Partial Differential Equations and Fourier Series 589 10.1 TwoPoint Boundary Value Problems 589 10.2 Fourier Series 596 10.3 The Fourier Convergence Theorem 607 10.4 Even and Odd Functions 614 10.5 Separation of Variables Heat Conduction in a Rod 623 10.6 Other Heat Conduction Problems 632 10.7 TheWave Equation: Vibrations of an Elastic String 643 10.8 Laplace's Equation 658 AppendixA Derivation of the Heat Conduction Equation 669 Appendix B Derivation of theWave Equation 673
 Chapter 11 Boundary Value Problems and SturmLiouville Theory 677 11.1 The Occurrence of TwoPoint Boundary Value Problems 677 11.2 SturmLiouville Boundary Value Problems 685 11.3 Nonhomogeneous Boundary Value Problems 699 11.4 Singular SturmLiouville Problems 714 11.5 Further Remarks on the Method of Separation of Variables: A Bessel Series Expansion 721 11.6 Series of Orthogonal Functions: Mean Convergence 728 Answers to Problems 739 Index 799.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Engineering Library (Terman)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QA371 .B773 2012  Unknown 4hour loan 
QA371 .B773 2012  Unknown 4hour loan 
CME20401, ME300B01
 Course
 CME20401  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Course
 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Boyce, William E.
 7th ed.  New York : Wiley, 2001.
 Description
 Book — xvi, 745 p. : ill. (some col.) ; 26 cm.
 Summary

 First Order Differential Equations Second Order Linear Equations Higher Order Linear Equations Series Solutions of Second Order Linear Equations The Laplace Transform Systems of First Order Linear Equations Numerical Methods Nonlinear Differential Equations and Stability Partial Differential Equations and Fourier Series Boundary Value Problems and SturmLiouville Theory Answers to Problems Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Engineering Library (Terman)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QA371 .B773 2001  Unknown 3day loan 
QA371 .B773 2001  Unknown 3day loan 
QA371 .B773 2001  Unknown 3day loan 
CME20401, ME300B01
 Course
 CME20401  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Course
 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K