Chapter 5  Modeling with Differential Equations
 Index

About this Chapter
 Section 5.1 Raindrops
 5.1.1 Galileo's Model
 5.1.2 Stokes' Law
 5.1.3 The VelocitySquared Model
 Section Summary
 Exercises
 Problems
 Section 5.2 Euler's Method
 5.2.1 A Numerical Solution for the VelocitySquared Model
 5.2.2 The General Euler's Method
 Section Summary
 Exercises
 Problems
 Section 5.3 Periodic Motion
 5.3.1 Spring Mass Systems
 5.3.2 A Differential Equation for Spring Motion
 5.3.3 Circular Motion: Sines and Cosines
 5.3.4 Period and Frequency
 5.3.5 Derivatives of Sine and Cosine 1: Examination
 5.3.6 Derivatives of Sine and Cosine 2: Calculation
 Section Summary
 Exercises
 Problems
 Section 5.4 Modeling With Circular Functions
 5.4.1 How Much Daylight?
 5.4.2 Euler's Method Solutions for the Spring Equation
 5.4.3 Symbolic Solutions of the Spring Equation
 Section Summary
 Exercises
 Problems
 Section 5.5 Trigonometric and Inverse Trigonometric Functions
 5.5.1 How Tall is a Tree?
 5.5.2 Derivative of the Tangent Function
 5.5.3 Inverse Trigonometric Functions
 Section Summary
 Exercises
 Problems
 Section 5.6 Derivative Calculations
 5.6.1 Why Hand Calculation?
 5.6.2 Calculations with Algebraic Functions
 5.6.3 Calculations with Transcendental Functions
 Section Summary
 Exercises
 Problems
 Chapter Summary
 Chapter Review
 Concepts and Applications
 Formulas
 Project 1. Hyperbolic and Inverse Hyperbolic Functions
 Project 2. The SIR Model of the Spread of Disease