# Exact differential equation

**Exact differential equation**

A differential equation is a equation used to define a relationship between a function and derivatives of that function. Differential equation is extremely used in the field of engineering, physics, economics and other disciplines.

A differential equation of the form Mdx + N dy = 0, where M & N are function of x & y, is called exact if there exists a function f(x, y) such that Mdx + Ndy = d f (x, y).

Note: a necessary and sufficient condition for the differential equation Mdx + Ndy = 0 to be exact is

**Some important relations**

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