2s + 16 s² + 4s + 13

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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find the inverse Laplace transform of the given
function. Correct answer for 13 is 2e^(-2t) cos(3t) + 4e^(-2t) sint(3t)

Certainly! Here is the transcription of the mathematical expression:

---

**13.** 

\[
\frac{\frac{2s + 16}{s^2 + 4s + 13}}{6}
\]

--- 

This notation represents a complex fraction. The main fraction has a numerator and a denominator, where the numerator itself is another fraction. The numerator is \((2s + 16)\) divided by \((s^2 + 4s + 13)\), and this entire expression is divided by 6.
Transcribed Image Text:Certainly! Here is the transcription of the mathematical expression: --- **13.** \[ \frac{\frac{2s + 16}{s^2 + 4s + 13}}{6} \] --- This notation represents a complex fraction. The main fraction has a numerator and a denominator, where the numerator itself is another fraction. The numerator is \((2s + 16)\) divided by \((s^2 + 4s + 13)\), and this entire expression is divided by 6.
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