Solving Differential Equations Analytically (UMAP)

A unit that involves applications of elementary differential equations. The purpose of this module is for students to learn to solve differential equations using antiderivatives, separation of variables and the general solution formula for first order linear differential equations.

Table of Contents:

PREFACE

1. ANALYTIC SOLUTIONS

2. ANTIDERIVATIVES AND DIFFERENTIAL EQUATIONS
Quiz #1

3. SEPARATION OF VARIABLES
Quiz #2

4. FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS
4.1 The Fish Pond Revisited
4.2 A Second Example
4.3 The General Procedure
Quiz #3

5. MODEL EXAM

6. ANSWERS TO EXERCISES

7. ANSWERS TO QUIZZES AND MODEL EXAM

APPENDIX 1: AN EXAMPLE FROM BIOLOGY

APPENDIX 2: A POPULATION MODEL

APPENDIX 3: AN EXAMPLE FROM CHEMISTRY

ANSWERS TO EXERCISES