000			nam a22 7a 4500
999			_c39962 _d39962
001			33791
003			BD-DhAAL
005			20211213162823.0
008			180913t2013 acaa|||| |||| 001 0 eng d
020			_a9781133492467
040			_aBD-DhAAL
082			_223 _a515.35
100			_aZill, Dennis G. _928163
245			_aDifferential equations with boundary-value problems / _cDennis G Zill, Warren S Wright and Michael R Cullen
250			_aEight edition
260			_aAustralia : _bBrooks/Cole Cengage Learning, _cc2013
300			_axv, 559 pages : _bsome color illustrations ; _c27 cm.
500			_aIncludes index
505			_a1. INTRODUCTION TO DIFFERENTIAL EQUATIONS.Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review.2. FIRST-ORDER DIFFERENTIAL EQUATIONS.Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review.3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS.Linear Models. Nonlinear Models. Modeling with Systems of First-Order Differential Equations. Chapter 3 in Review. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS.Preliminary Theory-Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review.5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS.Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review.6. SERIES SOLUTIONS OF LINEAR EQUATIONS.Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review.7. LAPLACE TRANSFORM.Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review.8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS.Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review.9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS.Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review.10. PLANE AUTONOMOUS SYSTEMS.Autonomous Systems. Stability of Linear Systems. Linearization and Local Stability. Autonomous Systems as Mathematical Models. Chapter 10 in Review.11. ORTHOGONAL FUNCTIONS AND FOURIER SERIES.Orthogonal Functions. Fourier Series and Orthogonal Functions. Fourier Cosine and Sine Series. Sturm-Liouville Problem. Bessel and Legendre Series. Chapter 11 in Review.12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES.Separable Partial Differential Equations. Classical PDE's and Boundary-Value Problems. Heat Equation. Wave Equation. Laplace's Equation. Nonhomogeneous Boundary-Value Problems. Orthogonal Series Expansions. Higher-Dimensional Problems. Chapter 12 in Review.13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS.Polar Coordinates. Polar and Cylindrical Coordinates. Spherical Coordinates. Chapter 13 in Review.14. INTEGRAL TRANSFORM METHOD.Error Function. Laplace Transform. Fourier Integral. Fourier Transforms. Chapter 14 in Review.15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS.Laplace's Equation. Heat Equation. Wave Equation. Chapter 15 in Review.Appendix I: Gamma Function.Appendix II: Matrices.Appendix III: Laplace Transforms.Answers for Selected Odd-Numbered Problems.
650			_aDifferential equations _928116
650			_aBoundary value problems _928117
650			_aElectrical engineering. _942640
700			_aWright, Warren S. _928164
700			_aCullen, Michael R. _928165
852			_aAyesha Abed Library _cGeneral Stacks
942			_2ddc _cBK