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Differential Equations

Suitable Age Group: Ages 18–21

Grade Reference

🇺🇸 United States College Freshman – College Senior
🇬🇧 United Kingdom University Year 1 – University Year 4
🇮🇳 India B.Sc. Year 1 – B.Sc. Year 4
🇳🇬 Nigeria University Year 1 – University Year 4
🇿🇦 South Africa University Year 1 – Honours
🇦🇺 Australia University Year 1 – Honours
🇨🇦 Canada University Year 1 – University Year 4

About This Textbook

This textbook is appropriate for a first course in differential equations for one or two semesters. It is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

Table of Contents

Introduction — First Order Equations — Numerical Methods — Applications of First Order Equations — Linear Second Order Equations — Applications of Linear Second Order Equations — Series Solutions of Linear Second Order Equations — Laplace Transforms — Linear Higher Order Equations — Linear Systems of Differential Equations — Boundary Value Problems and Fourier Expansions — Fourier Solutions of Partial Differential Equations — Boundary Value Problems for Second Order Linear Equations