| 000 | 05619cam a2200709Ma 4500 | ||
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| 001 | on1003202086 | ||
| 003 | OCoLC | ||
| 005 | 20210825161917.0 | ||
| 006 | m d | ||
| 007 | cr |n||||||||| | ||
| 008 | 170929s2017 si o 000 0 eng d | ||
| 040 |
_aIDEBK _beng _cIDEBK _dYDX _dEBLCP _dN$T _dOCLCF _dOSU |
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| 020 | _z9789813226128 | ||
| 020 | _z9813226129 | ||
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| 020 | _z9789813226135 | ||
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_a1589397 _b(N$T) |
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| 035 |
_a(OCoLC)1003202086 _z(OCoLC)1003097651 _z(OCoLC)1004192795 _z(OCoLC)1005895140 _z(OCoLC)1013802595 |
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| 037 |
_a1033968 _bMIL |
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| 050 | 4 |
_aQA372 _b.D42 2018 |
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| 072 | 7 |
_aMAT _x005000 _2bisacsh |
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| 072 | 7 |
_aMAT _x034000 _2bisacsh |
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| 082 | 0 | 4 |
_a515/.352 _223 |
| 049 | _aMAIN | ||
| 100 | 1 | _aYuefan, Deng. | |
| 245 | 1 | 0 |
_aLectures _h[electronic resource]. |
| 260 |
_aSingapore, SINGAPORE _bWorld Scientific Publishing Co Pte Ltd _c2017. |
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| 300 | _a1 online resource (572) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 588 | _aDescription based on print version record. | ||
| 504 | _aIncludes bibliographical references and index. | ||
| 505 | 0 | _aPREFACE; CHAPTER 1 FIRST-ORDER DIFFERENTIAL EQUATIONS; 1.1 DEFINITION OF DIFFERENTIAL EQUATIONS; 1.2 SLOPE FIELDS AND SOLUTION CURVES; 1.3 SEPARATION OF VARIABLES; 1.4 FIRST-ORDER LINEAR DES; 1.5 THE SUBSTITUTION METHODS; 1.5.1 Polynomial Substitution; 1.5.2 Homogeneous DEs; 1.5.3 Bernoulli DEs; 1.6 RICCATI DES; 1.7 THE EXACT DES; 1.8 SUMMARY; CHAPTER 2 MATHEMATICAL MODELS; 2.1 Newton's Law of Cooling; 2.2 Torricelli's Law for Draining; 2.3 The Population Model; 2.3.1 Introduction; 2.3.2 General Population Equation; 2.3.3 The Logistic Equation; 2.3.4 Doomsday vs. Extinction. | |
| 505 | 8 | _a2.4 Acceleration-Velocity Model2.4.1 Newton's Laws of Motion; 2.4.2 Velocity and Acceleration Models; 2.4.3 Air Resistance Model; 2.4.4 Gravitational Acceleration; 2.5 Windy Day Plane Landing; 2.6 A Swimmer's Problem; 2.7 River Ferryboat-Docking Problem; 2.8 Equation for Compound Interest; CHAPTER 3 LINEAR DEs OF HIGHER ORDER; 3.1 Classifications of Linear DEs; 3.2 Linear Independence; 3.3 Homogeneous DEs; 3.3.1 DEs with Constant Coefficients; 3.3.2 DEs with Variable Coefficients; 3.4 Inhomogeneous Linear DEs; 3.4.1 Method of Undetermined Coefficients; 3.4.2 Variation of Parameters. | |
| 505 | 8 | _aCHAPTER 4 SYSTEMS OF LINEAR DEs4.1 Basics of System of DEs; 4.2 First-Order Systems and Applications; 4.2.1 One Block and One Spring; 4.2.2 Two Blocks and Two Springs; 4.2.3 Kirchhoff Circuit Laws; 4.3 The Substitution Method; 4.4 The Operator Method; 4.5 The Eigen-Analysis Method; 4.6 Examples of Systems of DEs; 4.6.1 Predator-prey DEs; 4.6.2 Cascade of Tanks; CHAPTER 5 LAPLACE TRANSFORMS; 5.1 Laplace Transforms; 5.2 Properties of Laplace Transforms; 5.2.1 Laplace Transforms for Polynomials; 5.2.2 The Translator Property; 5.2.3 Transforms of Step and Delta Functions. | |
| 505 | 8 | _a5.2.4 The t-multiplication Property5.2.5 Periodic Functions; 5.2.6 Differentiation and Integration Property; 5.3 Inverse Laplace Transforms; 5.4 The Convolution of Two Functions; 5.5 Applications; APPENDIX A SOLUTIONS TO PROBLEMS; Chapter 1 First-Order DEs; 1.1 Definition of DEs; 1.2 Slope Fields and Solution Curves; 1.3 Separation of Variables; 1.4 First-Order Linear DEs; 1.5 Substitution Methods; 1.6 Riccati DEs; 1.7 The Exact DEs; Chapter 2 Mathematical Models; 2.1 Newton's Law of Cooling; 2.2 Torricelli's Law for Draining; 2.3 Population Model; 2.4 Acceleration-Velocity Model. | |
| 505 | 8 | _a2.5 Windy Day Plane Landing2.6 A Swimmer's Problem; 2.7 River Ferryboat-Docking Problem; 2.8 Equation for Compound Interest; Chapter 3 Linear DEs of Higher Order; 3.1 Classification of Linear DEs; 3.2 Linear Independence; 3.3 Homogeneous DEs; 3.4 Inhomogeneous Linear DEs; Chapter 4 Systems of Linear DEs; 4.1 Basics of System of DEs; 4.2 First-Order Systems and Applications; 4.3 Substitution Method; 4.4 The Operator Method; 4.5 The Eigen-Analysis Method; 4.6 Examples of Systems; Chapter 5 Laplace Transforms; 5.2 Properties of Laplace Transforms; 5.3 Inverse Laplace Transforms. | |
| 590 | _aMaster record variable field(s) change: 050, 072, 082, 650 - OCLC control number change | ||
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 | _aDifferential equations, Linear. | |
| 650 | 0 | _aLaplace transformation. | |
| 650 | 7 |
_aDifferential equations. _2fast _0(OCoLC)fst00893446 |
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| 650 | 7 |
_aDifferential equations, Linear. _2fast _0(OCoLC)fst00893468 |
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| 650 | 7 |
_aLaplace transformation. _2fast _0(OCoLC)fst00992599 |
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| 650 | 7 |
_aMATHEMATICS _xCalculus. _2bisacsh |
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| 650 | 7 |
_aMATHEMATICS _xMathematical Analysis. _2bisacsh |
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| 655 | 4 | _aElectronic books. | |
| 655 | 0 | _aElectronic books. | |
| 776 | 0 | 8 |
_iPrint version: _aDeng, Yuefan. _tLectures, problems and solutions for ordinary differential equations. _bSecond edition. _dSingapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., 2018 _z9789813226128 _z9813226129 _w(DLC) 2017029777 _w(OCoLC)1006521906 |
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_3EBSCOhost _uhttp://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1589397 |
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