Differential Equations › Section C · Second order differential equations › Topic C.10
Variation of parameters
Undetermined coefficients only handles a short list of inputs and needs constant coefficients. Variation of parameters has neither limit: given a fundamental set for the homogeneous equation, it produces a particular solution for any continuous input, at the price of two integrals.
In this topic
- Beyond educated guesses
- Setting up the method
- Deriving the formulas
- The recipe
- Worked example: a secant input
- Worked example: a repeated root
- Worked example: variable coefficients
- Choosing a method
- Common mistakes to avoid
- Key takeaways
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