Differential Equations › Section G · Higher order differential equations › Topic G.4
Laplace, systems, and series for higher order
Laplace transforms, first order systems and power series were developed mostly for second order problems, yet each handles higher order with only small changes. Seeing them side by side also shows that the three methods describe the same underlying structure.
In this topic
- Three tools, one more derivative
- Transforms of higher derivatives
- Worked example: a third order problem by Laplace
- From one equation to a system
- Three by three systems
- Worked example: a real and a complex eigenvalue
- Series for a third order equation
- Choosing a method
- Common mistakes to avoid
- Key takeaways
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