CHAPTER 1INTRODUCTION TO DIFFERENTIAL EQUATIONS 1.1MODELS ON DIFFERENTIAL EQUATIONS 1.2BASIC CONCEPTS OF DIFFERENTIAL EQUATIONS CHAPTER 2FIRSTORDER ORDINARY DIFFERENTIAL EQUATIONS 2.1THREE BASIC TYPES OF FIRSTORDER EXPLICIT EQUATIONS 2.2TWO AVAILABLE TACTICS 2.3FUNDAMENTAL THEORY OF INITIALVALUE PROBLEM 2.4METHODS OF APPROXIMATION 2.5FIRSTORDER IMPLICIT EQUATIONS CHAPTER 3HIGHORDER ORDINARY DIFFERENTIAL EQUATIONS 3.1FUNDAMENTAL THEORIES OF LINEAR EQUATIONS 3.2LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 3.3LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS 3.4SOLUTION BY POWER SERIES 3.5OTHER PROBLEMS OF nTHORDER EQUATIONS CHAPTER 4FIRSTORDER ORDINARY DIFFERENTIAL SYSTEMS 4.1FUNDAMENTAL THEORIES OF LINEAR SYSTEMS 4.2HOMOGENEOUS LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS 4.3NONHOMOGENEOUS LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS 4.4THE FIRST INTEGRAL CHAPTER 5*QUALITATIVE ANALYSIS AND STABILITY OF SOLUTIONS 5.1INTRODUCTION TO QUALITATIVE ANALYSIS 5.2STABILITY OF THE TRIVIAL SOLUTION 5.3LOCAL ANALYSIS OF TWODIMENSIONAL AUTONOMOUS SYSTEMS 5.4GLOBAL PHASE DIAGRAM OF TWODIMENSIONAL AUTONOMOUS SYSTEMS CHAPTER 6INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS 6.1FIRSTORDER PARTIAL DIFFERENTIAL EQUATIONS 6.2SECONDORDER PARTIAL DIFFERENTIAL EQUATIONS KEYS OR HINTS
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