Title Statements
- Full title :Lectures.
Edition Statements
- Publication Date:2017.
Publication Statements
- Publisher(s):World Scientific Publishing Co Pte Ltd
- Place of Publication:Singapore, SINGAPORE
- Language:eng
- Publication Date:2017.
The Physical Object
- Description:1 online resource (572)
Edition Identifiers
- ISBN:9813226145, 9789813226142
- oclc:on1003202086
- LC Classification:QA372
- Dewey Decimal:515/.352
Table of Contents
PREFACE; 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.
2.4 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.
CHAPTER 4 SYSTEMS OF LINE…
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