EqWorld

The World of Mathematical Equations

Exact Solutions Methods Software For Authors Math Forums

Exact Solutions > Ordinary Differential Equations

Ordinary Differential Equations

• First-Order Ordinary Differential Equations
• Second-Order Linear Ordinary Differential Equations
• Second-Order Nonlinear Ordinary Differential Equations
• Higher-Order Linear Ordinary Differential Equations
• Higher-Order Nonlinear Ordinary Differential Equations

Basic handbooks:

1. E. Kamke, Differentialgleichungen: Losungsmethoden und Losungen, I, Gewohnliche Differentialgleichungen, B. G. Teubner, Leipzig, 1977.
2. G. M. Murphi, Ordinary Differential Equations and Their Solutions, D. Van Nostrand, New York, 1960.
3. A. D. Polyanin and V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, Chapman & Hall/CRC Press, Boca Raton, 2003 (2nd edition).

See also:

1. D. Zwillinger, Handbook of Differential Equations, Academic Press, Boston, 1997 (3rd edition).
2. A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists (Chapters 12, T5, and T6), Chapman & Hall/CRC Press, Boca Raton–London, 2006.

Remark. The above Handbook of Exact Solutions for Ordinary Differential Equations contains many more equations and solutions than those presented in this section of EqWorld.