First-order differential equations

1 First-order differential equations

The main teaching text of this unit is provided in the workbook below. The answers to the exercises that you'll find throughout the workbook are given in the answer book. You can access it by clicking on the link under the workbook.

Click 'View document' to open the workbook (PDF, 1.6 MB).

Click 'View document' to open the answer book (PDF, 0.5 MB).

Workbook contents

• Introduction

• 1 Some basics

  • 1.1 Why differential equations?

  • 1.2 Differential equations and solutions

  • 1.3 Approximations in calculations

• 2 Direction of fields and Euler's methods

  • 2.1 Direction fields

  • 2.2 Euler's method

• 3 Finding analytic solutions

  • 3.1 Direct integration

  • 3.2 Separation of variables

• 4 Solving linear differential equatios

  • 4.1 Linear differential equations

  • 4.2 The integrating factor method

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