- Post Secondary
- Calculus and Analysis
- Differential Equations
Laplace transform

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Answered

2022-10-17

What is the laplace transform of $\delta (t-\pi /6)\mathrm{sin}(t)$

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Answer & Explanation

Marlene Welch

Expert

2022-10-18Added 23 answers

The Laplace transform is by definition

$${\int}_{0}^{\mathrm{\infty}}\mathrm{exp}(-st)\delta (t-\pi /6)\mathrm{sin}(t)dt=\mathrm{sin}(\frac{\pi}{6})\mathrm{exp}(-s\frac{\pi}{6})=(1/2)\mathrm{exp}(-s\frac{\pi}{6})$$

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