Exact differential equations

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School:Mathematics > Topic:Differential_Equations > Ordinary Differential Equations > Exact Differential Equations

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 .