כ Q3. What is the relationship between Laplace transform == .co L[u(t)] = F(s) est u(t)ȧt and the following transform 8 N[u(t)] = R(s, w) = e e-st u(wt)dt wnere N{1} =). N{t} N{t}=N{eat} = S-aw Q4. What is the relationship between variation iteration method and the successive approximate method with prove it?

Q: L{e' cos 3t}

A: Given etcos23t We have to find the Laplace Transform. Formula use1. cos2(x)=12+cos(2x)122.…

Q: 7. Q(s) = S s² +64

A: GivenA Laplace domain function is defined as followsAimTo find the inverse Laplace transform of the…

Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

A:

Q: 7. Find the inverse Laplace transform for the F(s): (S-2)e-2s 4s + 3 5² Hint: You may need unit step…

A:

Q: 8. Find the function whose Fourier sine transform is the following function. S[u] - 2 0 x = [1, 2],…

A: Given: Fourier sine transform is given as Su=2x∈1,21x∈(2,3]0otherwise. To find: The function which…

Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

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Q: 4. Using the definition, not the table, find the Laplace transform of (a) f(t) = −3 (b) g(t) = 4t…

A: Laplace transform of the function

Q: Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE:…

A: Given that Fs=e-2ss2+5s-50 We have to find the inverse Laplace transform of Fs that is L-1Fs For…

Q: 2. Let 2s6 s³3s2 + 4s - 12 Find the inverse Laplace transform, y(s). Y(s):

A:

Q: 2. Find the inverse Laplace transform of the following function -3s F(s) a 1 (s2 –6s+25) + + s-b…

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Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s>0. Since the…