Differential Equations › Section C · Second order differential equations › Topic C.5
Reduction of order
Equations with variable coefficients rarely have a neat characteristic equation, but if you already know one solution, a second one can always be built from it. The method turns a second order problem into a first order one, which the earlier techniques can solve.
In this topic
- When one solution is known
- The idea
- Why the order drops
- Worked example: a power solution
- A ready-made formula
- Worked example: an exponential start
- Where it fits
- Common mistakes to avoid
- Key takeaways
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