L[u(t)] = F(s) = Q1/ What is the relationship between Laplace transform u(t)dt -st e and the following transform E[u(t)] = T(w) = = W ew u(t)dt Some Properties:- 1. E[1] = w² 2. E[t] = w3 3. Elex]= 1-aw
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![L[u(t)] = F(s) =
Q1/ What is the relationship between Laplace transform
u(t)dt
-st
e
and the following transform
E[u(t)] = T(w) =
= W
ew u(t)dt
Some Properties:-
1. E[1] = w²
2. E[t] = w3
3. Elex]=
1-aw](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5350009e-2e12-4ca9-bfd0-cdc2cdb16852%2Fc400f84d-92c4-40b8-beb3-29447cc0053f%2Fam9gbpb_processed.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps
- e^3(t+2)/2. Find laplace transform of the functionQ1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)Compute the Laplace transform. Your answer should be a function of the variable s: e²³ sin(xt)} = C 2 + u₂(t)e-³¹ sin(at) You may find the following formulas useful: cos(bt + л) = cos(bt) sin(bt +) = sin(bt) cos(bt+) = sin(bt) sin(bt + 2) = cos(bt) If you don't get this in 2 tries, you can get a hint. -
- Compute the Laplace transform. Your answer should be a function of the variable s: s(πt)} = = C 4+ u₁(t)e-2t cos(nt) You may find the following formulas useful: cos(bt +T)=- cos(bt) sin(bt +T)=sin(bt) cos(bt+) = sin(bt) sin (bt+) = cos(bt) If you don't get this in 2 tries, you can get a hint. -Ex. Find the Laplace transform for the functions 1-f (t) = sin't 2-f (t) =t°e"What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) =