Pt. I. Introduction to differential equations. 1. Model differential equations. 2. Elementary methods of integration. 3. General properties of solutions. 4. Partial differential equations of the first order -- Pt. II. Fundamentals of Lie group analysis. 5. Gateway to modern group analysis: Historical survey. 6. Preliminaries on transformations and groups. 7. Infinitesimal transformations and local groups. 8. Calculus of differential algebra. 9. Symmetry of differential equations. 10. Invariants of algebraic and differential equations -- Pt. III. Basic integration methods. 11. First-order equations and systems. 12. Second-order equations. 13. Higher-order equations
Bibliography
Includes bibliographical references (pages 325-341) and index
