Differential equations/Integrating factors

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Definition[edit]

If the expression is not exact or homogeneous, an integrating factor can be found so that the equation:



is exact.

Solution[edit]

There are 2 approaches to a solution.

  1. If the function is of the form , then the integrating factor is .

    OR

    If the function is of the standard form , then the integrating factor is or .
  2. Substitute the integration factor into the equation and solve.