Question

Determine ( mathscr{L}^{-1}{F} ). [ F(s)=frac{8 s^{2}-18 s+7}{s(s-2)(s-6)} ] Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. [ mathscr{L}^{-1}{F}=square ]

          Determine ( mathscr{L}^{-1}{F} ).
[
F(s)=frac{8 s^{2}-18 s+7}{s(s-2)(s-6)}
]

Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
[
mathscr{L}^{-1}{F}=square
]

$Determine ( mathscrL^-1F ). [ F(s)=frac8 s^2-18 s+7s(s-2)(s-6) ] Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. [ mathscrL^-1F=square ]$

Added by Jose

Differential Equations and Linear Algebra

Stephen W. Goode, Scott A. Annin 4th Edition

Chapter 10

Instant Answer

Solved by Expert Melissa Munoz

03/29/2024

Step 1

This means we want to express $ F(s) $ as a sum of simpler fractions of the form $ \frac{A}{s} $, $ \frac{B}{s-2} $, and $ \frac{C}{s-6} $. Setting up the equation, we have: \[ \frac{8 s^{2}-18 s+7}{s(s-2)(s-6)} = \frac{A}{s} + \frac{B}{s-2} + Show more…

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