CHAPTER 1 First-Order ODEs
1.1 Basic Concepts. Modeling 2
1.2 Geometric Meaning of y- ƒ(x, y). Direction Fields, Euler’s Method 9
1.3 Separable ODEs. Modeling 12
1.4 Exact ODEs. Integrating Factors 20
1.5 Linear ODEs. Bernoulli Equation. Population Dynamics 27
1.6 Orthogonal Trajectories. Optional 36
1.7 Existence and Uniqueness of Solutions for Initial Value Problems 38
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