Books

A list of textbooks and research books that are useful references for material in the study of ordinary differential equations.

Introductory

• Elementary differential equations and boundary value problems by William E. Boyce and Richard C. DiPrima , 2009. ISBN:9780470383346.
• Fundamentals of differential equations by R. Kent Nagle and Edward B. Saff, 1989. ISBN:0805302549.
• Elementary Differential Equations by C. H. Edwards and David E. Penney, 1999. ISBN:9780130112903.
• Differential Equations and Linear Algebra by C. Henry Edwards and David E. Penney and David Calvis, 2017. ISBN:9780134497181.
• Linear ordinary differential equations by Earl A. Coddington and Robert Carlson, 1997. ISBN:0898713889.
• Elements of ordinary differential equations by Michael Golomb and Merrill Shanks, 1965.

Little more than introductory

• Ordinary differential equations by Garrett Birkhoff and Gian-Carlo Rota, 1989. ISBN:0471860034.
• Ordinary differential equations by Morris Tenenbaum and Harry Pollard, 1963. ISBN:0486649407.

Second course

• Fourier Series and Boundary Value Problems by James Ward Brown and Ruel Vance Churchill, 2001. ISBN:9780071181518.
• Elementary differential equations and boundary value problems by William E. Boyce and Richard C. DiPrima , 2009. ISBN:9780470383346.

Historical

• Differential equations with Applications and Historical Notes by George Finlay Simmons, 1972. ISBN:0070573751.
• A treatise on differential equations by George Boole, 1859.
• A treatise on differential equations by Andrew Russell Forsyth, 1888.
• Differential equations by William Woolsey Johnson, 1906.
• A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions by E. T. Whittaker and G. N. Watson, 1920.
• Ordinary differential equations by E.L. Ince, 1956. ISBN:0486603490.
• An introduction to ordinary differential equations by Earl A. Coddington, 1961. ISBN:0486659429.

Graduate

• Applied Differential Equations: The Primary Couse by V. A. Dobrushkin, 2022. ISBN:9781138606586.
• Ordinary Differential Equations with Applications by Carmen Chicone, 2006. ISBN:9780387307695.
• Advanced Mathematical Methods for Scientists and Engineers by Carl M. Bender and Steven A. Orszag, 1999. ISBN:9780387989310.
• Differential dynamical systems by James D. Meiss, 2007. ISBN:9780898716351.
• Ordinary Differential Equations: Basics and Beyond by David G. Schaeffer and John W. Cain, 2016. ISBN:9781493963874.

Related

• Principles of mathematical analysis by Walter Rudin, 1976. ISBN:007054235X.
• Differential geometry and topology by Keith Burns and Marian Gidea, 2005. ISBN:1584882530.
• Differential geometry applied to dynamical systems by Jean-Marc Ginoux, 2009. ISBN:9789814277143.

Unclassified/General

• Thinking about ordinary differential equations by Robert E. O’Malley and Jr., 1997. ISBN:0521557429.
• An introduction to ordinary differential equations by Ravi P. Agarwal and Donal O’Regan, 2008. ISBN:9780387712758.
• Ordinary Differential Equations: An introduction to Nonlinear analysis by Herbert Amann, 1990. ISBN:0899255523.
• Ordinary Differential Equations by V. I. Arnold, 1992. ISBN:9783540548133.
• Similarity methods for differential equations by G. W. Bluman and J. D. Cole, 1974. ISBN:0387901078.
• Differential equations by Lothar Collatz, 1986. ISBN:0471909556.
• Qualitative Theory of Planar Differential Systems by Freddy Dumortier and Jaume Llibre and Joan C. Artes, 2006. ISBN:9783540328933.
• Ordinary differential equations by Jack K. Hale, 1980. ISBN:0898740118.
• Ordinary differential equations by Philip Hartman, 1982. ISBN:3764330686.
• Differential Equations and Dynamical Systems by Lawrence Perko, 2001. ISBN:9780387951164.
• Ordinary Differential Equations by David G. Schaeffer and John W. Cain, 2016. ISBN:9781493963874.
• Dynamics: The Geometry of Behavior by Ralph H. Abraham and Christopher D. Shaw, 1992. ISBN:0201567164.
• Nonlinear dynamics and Chaos by Steven H. Strogatz, 1994. ISBN:0201543443.
• Ordinary differential equations by Wolfgang Walter, 1998. ISBN:0387984593.
• Introduction to applied nonlinear dynamical systems and chaos by Stephen Wiggins and Stephen Wiggins, 2003. ISBN:0387001778.