cover image

Ordinary differential equation

Differential equation containing derivatives with respect to only one variable / From Wikipedia, the free encyclopedia

Dear Wikiwand AI, let's keep it short by simply answering these key questions:

Can you list the top facts and stats about Ordinary differential equation?

Summarize this article for a 10 years old


In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions.[1] The term "ordinary" is used in contrast with partial differential equations which may be with respect to more than one independent variable.[2]

parabolic projectile motion showing velocity vector
The trajectory of a projectile launched from a cannon follows a curve determined by an ordinary differential equation that is derived from Newton's second law.