Question

find laplace transform of a)1+e-t

b)sin3t

c)sin(squaret)+cos(squaret)

i want all the questions dont incomplete answers.i will give dis like

Answer #1

find laplace transform of f(t) =t^2(sin3t)
find inverse laplace transform f(s) = 2-2e^-s/s^2

a.) Find the Laplace transform of ?(?)=1+?(?−5)⋅(?+9)
b.) Find the Laplace transform of?(?)=?(?−4)⋅?^2
c.) Find the Laplace transform of?(?)=?(?−(3?)/2)⋅sin(?)
d.) Find the Laplace transform of ?(?)=?(?−4)⋅?^(−?)

Find the laplace transform of sin root t and hence deduce cos
root t all over root t

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) =

Find the Laplace transform for the following functions. Show all
work.
(a) u(t-1) - u(t-2)
(b) sin(2t-4)u(t-2)

Derive the Laplace transform of the following time domain
functions
A) 12 B) 3t sin(5t) u(t) C) 2t^2 cos(3t) u(t) D) 2e^-5t
sin(5t)
E) 8e^-3t cos(4t) F) (cost)&(t-pi/4)

Find the Laplace Transform of the following functions:
1. e^(-2t+1)
2. cos^2(2t)
3. sin^2(3t)

Compute the Laplace transform of functions
a) f(t) = e^(−3t) sin(5t)
b) f(t) = (2t + 3)e^(−t)

Use the definition of the Laplace transform to find the
transform of:
f(t)= at+ b cos(2t), where a, b are real numbers.
Please solve using simple and easy to follow steps (here for
learning not for answers)
Thanks

Derive the Laplace transform for the following time
functions:
a. sin ωt u(t)
b. cos ωt u(t)

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