Differential equations/Integrating factors
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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]
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.
- 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 . - Substitute the integration factor into the equation and solve.