Differential Equations › Section D · Laplace transforms › Topic D.3
Inverse Laplace transforms
Solving an equation with Laplace transforms ends with a function of s, and the answer you want is a function of t. Inverting a transform is a matching game: reshape the expression with algebra until every piece is a table entry.
In this topic
- Going back from s to t
- Linearity and fixing constants
- Worked example: straight from the table
- Partial fractions: a review
- Worked example: distinct linear factors
- Worked example: a repeated factor
- Completing the square
- Worked example: a damped oscillation
- Mixing linear and quadratic factors
- Common mistakes to avoid
- Key takeaways
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