ODE's are equations containing a function of one independent variable and its derivatives.
The term "ordinary" just means the subject excludes the use of partial derivatives.
Basically, they are equations in which specific variables will be expressed as a derivative. They are used to denote the change of variables relative to the change of other variables.
With an equation like y=mx+b you can write it as a differential equation by putting:
y = (dy/dx)x + b
but it is hardly necessary to do so because it is easy to solve.
Witold Hurewicz has written: 'Lectures on Ordinary Differential Equations' 'Ordinary differential equations in the real domain with emphasis on geometric methods' -- subject(s): Differential equations
Olusola Akinyele
Morris Tenenbaum has written: 'Ordinary differential equations' -- subject(s): Differential equations
Roger McCann has written: 'Introduction to ordinary differential equations' -- subject(s): Differential equations
J. C. Butcher has written: 'Numerical Methods for Ordinary Differential Equations' -- subject(s): Differential equations, Mathematics, Nonfiction, Numerical solutions, OverDrive 'The numerical analysis of ordinary differential equations' -- subject(s): Differential equations, Numerical solutions, Runge-Kutta formulas
Rudolph Ernest Langer has written: 'On the asymptotic solutions of ordinary linear differential equations about a turning point' -- subject(s): Differential equations, Linear, Linear Differential equations 'Nonlinear problems' -- subject(s): Nonlinear theories, Congresses 'A first course in ordinary differential equations' -- subject(s): Differential equations 'Partial differential equations and continuum mechanics' -- subject(s): Congresses, Differential equations, Partial, Mathematical physics, Mechanics, Partial Differential equations 'Boundary problems in differential equations' -- subject(s): Boundary value problems, Congresses
A popular website for information on ordinary differential equations is Pauls Online Notes. Great place that teachs you many other equations and other ways to solve problems.
R. Grimshaw has written: 'Nonlinear ordinary differential equations' -- subject(s): Nonlinear Differential equations
Emilio O. Roxin has written: 'Ordinary differential equations' -- subject(s): Differential equations
Zalman Rubinstein has written: 'A course in ordinary and partial differential equations' -- subject(s): Differential equations
D. K. Arrowsmith has written: 'Ordinary differential equations' -- subject(s): Differential equations
George Moseley Murphy has written: 'Ordinary differential equations and their solutions' -- subject(s): Differential equations