Book:Garrett Birkhoff/Ordinary Differential Equations/Third Edition

Subject Matter

 * Ordinary Differential Equations

Contents

 * PREFACE


 * 1 FIRST-ORDER DIFFERENTIAL EQUATIONS


 * 2 SECOND-ORDER LINEAR EQUATIONS


 * 3 LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS


 * 4 POWER SERIES SOLUTIONS


 * 5 PLANE AUTONOMOUS SYSTEMS


 * 6 EXISTENCE AND UNIQUENESS THEOREMS


 * 7 APPROXIMATE SOLUTIONS


 * 8 EFFICIENT NUMERICAL INTEGRATION


 * 9 REGULAR SINGULAR POINTS


 * 10 STURM-LIOUVILLE SYSTEMS


 * 11 EXPANSIONS IN EIGENFUNCTIONS


 * APPENDIX A: LINEAR SYSTEMS


 * APPENDIX B: NUMERICAL INTEGRAION IN BASIC


 * BIBLIOGRAPHY


 * INDEX



Source Work Progress
* : Chapter $1$ First-Order Differential Equations: $1$ Introduction