Differential Equations › Section E · Systems of differential equations › Topic E.10
Modeling with systems
When two quantities affect each other, such as salt in connected tanks, predators and their prey, or masses joined by springs, one equation is not enough. This topic shows how to turn each situation into a system, which assumptions the model rests on, and what its eigenvalues say.
In this topic
- Why one equation is not enough
- Connected tanks: assumptions and equations
- Worked example: two tanks
- Reading the eigenvalues
- Predator and prey
- Masses joined by springs
- Converting to a first order system
- Worked example: normal modes
- Common mistakes to avoid
- Key takeaways
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