Differential Equations › Section D · Laplace transforms › Topic D.4
Step functions
Real inputs get switched on and off: a motor starts, a valve closes, a voltage is cut. The unit step function writes any such switching in a single formula, and its Laplace transform is remarkably simple.
In this topic
- Modelling a switch
- The unit step function
- Writing piecewise functions with steps
- The transform of a step
- Worked example: a three-level signal
- The second shifting theorem
- When the function is not shifted
- Worked example: three transforms
- Worked example: inverting with a delay
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…