Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo

Valentin F. Zaitsev, Andrei D. Polyanin

Introduction: Some Definitions, Formulas, Methods, and Transformations. First-Order Differential Equations. Second-Order Differential Equations. Third-Order Differential Equations. Fourth-Order Differential Equations. Higher-Order Differential Equations. Supplements. References. Index.