Differential Equations › Section D · Laplace transforms › Topic D.2
Computing Laplace transforms
Nobody integrates from zero to infinity every time. A short table of basic transforms, plus a handful of rules for sums, exponential factors, factors of t and derivatives, produces almost every transform you will need.
In this topic
- From integrals to a table
- Linearity
- The basic table
- Hyperbolic functions from linearity
- Worked example: linearity in action
- The first shifting theorem
- Worked example: shifted transforms
- Multiplying by t
- Transforms of derivatives
- Common mistakes to avoid
- Key takeaways
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