Question

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) =

Answer #1

find the inverse Laplace transform of the given function.
1. F(s) = 3 /(s2 + 4)
2. F(s) = 2/ (s2 + 3s − 4)
3.F(s) = (2s + 2)/ (s2 + 2s + 5)

Find the inverse Laplace transform of F(s)=
6s^3-15s^2+20s-48/s(s-3)(s^2+4)

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

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

Find the inverse Laplace transform of
(2s+9)/(s^2+19s) where s>0
y(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 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)=(s^2+1)/(s^2(s+2))

find the laplace transform f(t) = 2t U (t – 2)

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

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