Find the Laplace transform of: f (t) = t3 – 8t2 + 1 -

Q: Find the Laplace transform of the function

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: If L{f"(t)} = arctan ), f(0) = 2 and f'(0) = 1, find L{f(t)}. %3D

A: Given - If ℒf''t = arctan12 , f0 = 2 and f'0 = 1  To find - ℒft       Formula used - ℒfnt = snFs -…

Q: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s)…

Q: Find the Laplace transform of: f (t) = cos? 2t

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Q: 25 s3(s2 +4s+5)

A:

Q: 12 d*x(t) 5 dt3 d²x(t) dt² + 5x(t) = 3cos(2t) d²x(0) 2, dt2 dx(0) 1, dt x(0) = 1 3s2 + 5s + 1 X(s) :…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. 6 сos(4t — 1)

A: The solution is given as

Q: 2. x(t) = e5t + cos 3t %3D

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Q: e at -e bt

A:

Q: Find the Laplace transform

A: Given,

Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

Q: WHAT IS THE LAPLACE TRANSFORM OF THIS? (e-V5e (e-V5t - ev2t

A:

Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: f(x) = S^ sinh 2tdt

A:

Q: 3. x(t) = 3t7 + 8

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: †3 – 12 +5t + 2

A: Laplace transformation of polynomial

Q: Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²¹ +4e-3t c. 3t² +8 sin 5t

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Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: F(t) = 2T, 0 < t <3; F(t+ 3)u(t – -

A:

Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…