Differential equations/Exact differential equations

Educational level: this is a tertiary (university) resource.
Type classification: this is a lesson resource.
Subject classification: this is a mathematics resource.
Completion status: this resource is ~25% complete.

Definition edit

A differential equation of is said to be exact if it can be written in the form   where   and   have continuous partial derivatives such that  .

Solution edit

Solving the differential equation consists of the following steps:

  1. Create a function  . While integrating, add a constant function   that is a function of  . This is a term that becomes zero if function   is differentiated with respect to  .
  2. Differentiate the function   with respect to  . Set  . Solve for the function  .