# ch02 - Chapter Review Sheets for Elementary Differential...

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Chapter Review Sheets for Elementary Differential Equations and Boundary Value Problems, 8e Chapter 2: First Order Differential Equations Definitions: First Order Ordinary Differential Equation Integrating Factor, Integral Curves Variation of parameters (p. 41) Separable Homogeneous differential equations (p. 49) Implicit solutions (p. 74) Bernoulli Equations (p. 77) Logistic equations, intrinsic growth rate (p. 79) Existence and Uniqueness of Solutions General Solutions, Autonomous, Logistic Growth, Equilibrium Solutions, Stable solutions, asymptotically stable solutions, unstable equilibrium solution (p. 83) Threshold (p. 87) Integrating factors, Exact equations (p. 94-98) Critical Points Exact ODE Tangent Line Method (Euler's Method) First Order Difference Equation Method of successive approximations (p. 111) Theorems: Theorem 2.4.1: Existence and uniqueness of solutions to linear first order ODE's.

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