Practice question · Sort into groups
Sort these into t-domain or s-domain operations.
Groups: t-domain (time) · s-domain (frequency)
- Product ·
- Differentiation d/dt
- Partial fraction decomposition
- Convolution f * g
- Multiplication by s
- Initial value
Hints
- Ask whether the operation is performed before or after transforming.
- Anything involving the transform variable belongs to the second category.
Show the answer
t-domain (time): Differentiation d/dt, Convolution f * g, Initial value
s-domain (frequency): Multiplication by s, Product ·, Partial fraction decomposition
Why
The Laplace transform maps between time and frequency domains.
Practise Laplace Transforms
The app has 6 more questions on this lesson, and keeps your place in the course. Physics I is free to start.
More questions on Laplace Transforms
- Which properties does the Laplace transform have?
- Order the steps of solving an initial-value problem with the Laplace transform.
- The Laplace transform converts a differential equation into an algebraic one. What does that exchange cost?
- The Laplace transform converts a differential equation into an algebraic equation.