Question

2. Find the inverse transforms of the given functions by use of Laplace Transforms Table. a) $\frac{2}{s^3}$ b) $\frac{6}{s^2 + 4}$ c) $\frac{15}{2s + 6}$ d) $\frac{3}{s^4 + 4s^2}$ e) $\frac{1}{s^3 + 3s^2 + 3s + 1}$ f) $\frac{2s + 3}{s^2 - 2s + 5}$ g) $\frac{3s + 1}{(s - 1)(s^2 + 1)}$

          2. Find the inverse transforms of the given functions by use of Laplace Transforms
Table.
a)
$\frac{2}{s^3}$
b)
$\frac{6}{s^2 + 4}$
c)
$\frac{15}{2s + 6}$
d)
$\frac{3}{s^4 + 4s^2}$
e)
$\frac{1}{s^3 + 3s^2 + 3s + 1}$
f)
$\frac{2s + 3}{s^2 - 2s + 5}$
g)
$\frac{3s + 1}{(s - 1)(s^2 + 1)}$

2. Find the inverse transforms of the given functions by use of Laplace Transforms
Table.
a)
(2)/(s^3)
b)
(6)/(s^2 + 4)
c)
(15)/(2s + 6)
d)
(3)/(s^4 + 4s^2)
e)
(1)/(s^3 + 3s^2 + 3s + 1)
f)
(2s + 3)/(s^2 - 2s + 5)
g)
(3s + 1)/((s - 1)(s^2 + 1))

Added by Jack T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/18/2023

Step 1

The inverse Laplace transform of (2)/(s^(3)) is t^(2)/2. Show more…

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Find the inverse transforms of the given functions by use of Laplace Transforms Table. a) F(s) = (2)/(s^(3)) b) F(s) = (6)/(s^(2) + 4) c) F(s) = (15)/(2s + 6) d) F(s) = (3)/(s^(4) + 4s^(2)) e) F(s) = (1)/(s^(3) + 3s^(2) + 3s + 1) f) F(s) = (2s + 3)/(s^(2) - 2s + 5) g) F(s) = (3s + 1)/((s - 1)(s^(2) + 1))