Differential Equations › Section G · Higher order differential equations › Topic G.3
Undetermined coefficients and variation of parameters
Both methods for finding a particular solution carry over to any order. Undetermined coefficients needs only one extension, a modification power that can now exceed 2, while variation of parameters becomes a determinant formula.
In this topic
- Finding one particular solution
- Undetermined coefficients and the modification power
- Worked example: a triple root
- Worked example: two separate modifications
- Worked example: a cantilever beam
- Variation of parameters for order n
- Worked example: a forcing that guessing cannot handle
- Which method to use
- Common mistakes to avoid
- Key takeaways
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