Differential Equations › Section E · Systems of differential equations › Topic E.9
Laplace transforms for systems
The Laplace transform turns a single differential equation into algebra, and it does the same for a whole system at once. The initial conditions are built in from the start, and switched or sudden inputs cause no extra trouble.
In this topic
- Why transform a system
- Transforming each equation
- The algebraic system and its determinant
- Worked example: an unforced system
- Saving a second inversion
- Worked example: a constant input
- Switched and impulsive inputs
- Choosing a method
- Common mistakes to avoid
- Key takeaways
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