Question

find the inverse Laplace transform of the given function.

1. F(s) = 3 /(s^{2} + 4)

2. F(s) = 2/ (s^{2} + 3s − 4)

3.F(s) = (2s + 2)/ (s^{2} + 2s + 5)

Answer #1

Find the Inverse Laplace Transform of the following
functions
(a)
F(s) =4/s(s2+2s+2)
(b)
F(s) =8/s2(s2+2)

1. Find the Laplace transform of
a.) f(t)=u(t−4)⋅e^t
F(s)=
2. Find the inverse Laplace transform of
a.) F(s)=2e^(−3s)−e^(−2s)−3e^(−6s)−e^(−9s)/s
f(t) =
b.) F(s)=e^(−6s)/s^2−3s−10
f(t) =
c.) F(s)=4e^(−9s)/s^2+16
f(t) =

Use partial fraction decomposition to find the inverse Laplace
transform of the given function.
(a) Y (s) = 2 /(s 2+3s−4)
(b) Y (s) = 1−2s /(s 2+4s+5)
differential eq

find the inverse Laplace transform of the given function.
1. F(s) = (8s2 − 4s + 12)/ s(s2
+ 4)
use the Laplace transform to solve the given initial value
problem.
2. y'' − 2y' + 2y = 0; y(0) = 0, y' (0) = 1

Find the inverse Laplace transform L−1{F(s)} of the given
function.
F(s)=(13s2−18s+216)/(s(s2+36))
Your answer should be a function of t.

Find the inverse Laplace transform of the function by using the
convolution theorem.
F(s) =
1
(s + 4)2(s2 + 4)
ℒ−1{F(s)}(t) =
t
0
dτ

Find the inverse Laplace transform of F (s) = 1 / s4 (s2 +1)

Find the inverse laplace transform of:
(s+1)/(s2(s2+1))

Find Inverse Laplace Transform
2s/(s-1)^2 (s+1)

Find the inverse Laplace transform of the given function.
(Express your answer in terms of t.)
F(s) =
8s2 − 10s + 75
s(s2 + 25)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 9 minutes ago

asked 15 minutes ago

asked 21 minutes ago

asked 22 minutes ago

asked 22 minutes ago

asked 30 minutes ago

asked 30 minutes ago

asked 31 minutes ago

asked 40 minutes ago

asked 40 minutes ago

asked 45 minutes ago