Differential equations

1 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, 1.4 MB).

Click 'View document' to open the answer book (PDF, 0.3 MB).

Workbook contents

• Introduction

• 1 Homogeneous differential equations

  • 1.1 First thoughts

  • 1.2 Method of solution

  • 1.3 The general solution

• 2 Inhomogeneous differential equations

  • 2.1 General method of solution

  • 2.2 Finding a particular integral by the method of undetermined coefficients

  • 2.3 Exceptional cases

  • 2.4 Combining cases

• 3 Initial conditions and boundary conditions

  • 3.1 Initial-value problems

  • 3.2 Boundary-value problems

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