mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

, Euler's differential equation is a first order nonlinear ordinary differential equation, named after

Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...

given byInce, E. L. "L. 1944 Ordinary Differential Equations." 227. :

\frac + \frac = 0

This is a separable equation and the solution is given by the following integral equation :

\int \frac + \int \frac  = c

References

{{Reflist Equations of physics Mathematical physics Differential equations Ordinary differential equations Leonhard Euler