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# ch01 - p.7 • Construct a direction field for a first...

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Chapter Review Sheets for Elementary Differential Equations and Boundary Value Problems, 8e Chapter 1: Introduction Definitions: Differential Equation Mathematical Model Direction (Slope) Field Equilibrium Solution Rate (growth) constant Initial Condition, Initial Value Problem (IVP) General Solution, Integral curves Ordinary Differential Equation (ODE), Partial Differential Equation (PDE) Systems of Differential Equations Order, Linear, Nonlinear, Linearization Important Skills: Derive differential equations that mathematically model simple problems. (Example 1, p. 2; Also see
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Unformatted text preview: p.7) • Construct a direction field for a first order ODE, and sketch approximate solutions. (Example 2, p.3) • Graph the integral curves of a general solution (Example 2, p.13) • Know what an initial value problem is, and how to show a given function is a solution to one. (Example 2, p.13) • Know the difference between an ordinary differential equation and partial differential equation. (p. 19) • Derivation of pendulum differential equation (p.21) • Know how to classify differential equations as order, and linearity. (p.19-20)...
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